Searching: "compact space"

1. Compact space [100%] (Computing) [Topology] [Properties of topological spaces] [General topology] Type of mathematical space ...
2. Countably compact space [80%] (Computing) [Compactness (mathematics)] [Properties of topological spaces] (1) (2): Suppose (1) holds and A is an infinite subset ...
3. Feebly compact space [80%] (Computing) [Properties of topological spaces] [Compactness (mathematics)] ...
4. Locally compact space [80%] (Computing) [Properties of topological spaces] [Compactness (mathematics)] Type of topological space in mathematics ...
5. Sequentially compact space [80%] (Computing) [Properties of topological spaces] [Compactness (mathematics)] Topological space where every sequence has a convergent subsequence. ...
6. Compact operator on Hilbert space [70%] (Computing) [Linear operators] [Operator theory] [Articles containing proofs] ...
7. Continuous functions on a compact Hausdorff space [60%] (Computing) [Types of functions] [Real analysis] [Functional analysis] Hence it is more typical to consider the space, denoted here ...
8. Σ-compact space [80%] (Computing) [Properties of topological spaces] [General topology] [Compactness (mathematics)] 126. A space is said to be σ -locally compact if ...
9. Core-compact space [80%] (Computing) [Topology] See en.wikipedia.org/wiki/WP:REFB for instructions on how to add citations ...

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1. Fulton–MacPherson compactification [100%] (Computing) [Compactification (mathematics)] ... space as an open dense subset and is ... compact complex manifold is a compact complex ... compactification of the configuration space ...
2. Properties of topological spaces [96%] (Category) [General topology] [Topology] [Topological spaces] ... Feebly compact space First-countable space ... Countably compact space D D-space Door space ... normal space Compact space Σ-compact space ...
3. Feebly compact space [95%] (Computing) [Properties of topological spaces] [Compactness (mathematics)] ... compact space is submaximal. This article ... paracompact space is compact. Every feebly compact ... Some facts: Every compact space is feebly ...
4. Relatively compact subspace [84%] (Computing) [Compactness (mathematics)] [Properties of topological spaces] ... compact subset of a non-Hausdorff space ... compact space is compact). And in an ... of a compact topological space is ...
5. Hemicompact space [84%] (Computing) [Properties of topological spaces] [Compactness (mathematics)] ... also Compact space Exhaustible by ... References Examples Every compact space ... of the space lies inside some compact ...
6. Exhaustion by compact sets [82%] (Computing) [General topology] [Mathematical analysis] [Compactness (mathematics)] ... sequence of compact subsets ... compact sets and σ-compact. Every space ... compact sets[1] of a topological space ...
7. Esenin-Volpin's theorem [82%] (Computing) [Theorems in topology] [General topology] ... In mathematics, Esenin-Volpin's theorem states that weight of an infinite compact dyadic space is the supremum of the ...
8. Locally compact space [81%] (Computing) [Properties of topological spaces] [Compactness (mathematics)] ... spaces Every compact Hausdorff space is ... space that is locally compact (in the sense ... topological space is called locally compact if, ...
9. Novikov's compact leaf theorem [81%] (Computing) [Theorems in topology] ... of a compact 3-manifold whose universal covering space is not contractible must ... In mathematics, Novikov's compact leaf ...
10. Topological semigroup [81%] (Computing) [Topological groups] [Topological algebra] ... – A compact topological semigroup with a ... See also Analytic semigroup Compact group – Topological group with compact ...
11. Ω-bounded space [79%] (Computing) [Properties of topological spaces] ... In mathematics, an ω-bounded space is a topological space in which the closure ... has compact closure.Every compact space ...
12. Corona set [76%] (Computing) [Topology] ... set of a topological space X is the complement βX\X of the space in its ... compact Hausdorff space is a sub-Stonean ...
13. Vitale's random Brunn–Minkowski inequality [72%] (Computing) [Theorems in measure theory] [Probabilistic inequalities] ... (Ω, Σ, Pr) to the space of non-empty, compact ... compact subsets of n -dimensional Euclidean space R n to random compact sets. ...
14. Nikiel's conjecture [70%] (Computing) [Conjectures that have been proved] [Topology] ... images of compact ordered spaces Questions ... compact total order. The conjecture was ... compact topological space is the continuous ...
15. Metacompact space [68%] (Computing) [Compactness (mathematics)] [Properties of topological spaces] ... Tychonoff space X to be compact it is ... compact space and a metacompact space is ... metacompact. This implies that every compact space ...
16. Locally regular space [67%] (Computing) [Properties of topological spaces] [Topology] ... regular space satisfies the property ... a topological space X is locally regular ... Homeomorphism Locally compact space ...
17. Σ-compact space [67%] (Computing) [Properties of topological spaces] [General topology] [Compactness (mathematics)] ... compact Lindelöf space is σ -compact.*(The ... * Every compact space is σ -compact, and ... space is said to be σ -locally compact ...
18. Sequentially compact space [67%] (Computing) [Properties of topological spaces] [Compactness (mathematics)] ... metric space is naturally a topological ... Short description: Topological space ... space X is sequentially compact if every ...
19. Federer–Morse theorem [66%] (Computing) [Theorems in topology] ... compact metric space X to a compact metric space Y , then there is a Borel subset Z ...
20. Dunford–Pettis property [65%] (Computing) [Banach spaces] ... Banach space transforms weakly compact ... continuous functions on a compact space ... compact operators from this space into ...
21. Compactly generated group [65%] (Computing) [Topological groups] ... suitable sense) by its compact subspaces. ... of a compactly generated space -- one ... one of its compact subsets.[1] This ...
22. Topological abelian group [62%] (Computing) [Topological groups] [Topology] [Abelian group theory] ... harmonic analysis. See also Compact group – Topological group with compact topology ... done with TAGs. Locally compact TAGs, ...
23. H-closed space [61%] (Computing) [Compactness (mathematics)] [Properties of topological spaces] ... In mathematics, a Hausdorff space is ... See also Compact space References K.P. ... Thus, every compact Hausdorff space is ...
24. Arzelà–Ascoli theorem [61%] (Computing) [Topology of function spaces] [Theorems in functional analysis] [Theorems in real analysis] ... compact metric space satisfying a Hölder ... Hölder space is compact in .This holds ... space to be compact in the compact-open ...
25. Clifford–Klein form [61%] (Computing) [Homogeneous spaces] [Lie groups] ... / H can be taken to be a compact space, called a compact Clifford–Klein form ... on the homogeneous space G / H . A ...
26. Gelfand–Raikov theorem [60%] (Computing) [Representation theory of groups] ... locally compact topological groups. It states that a locally compact group is ... compact group on a Hilbert space defines ...
27. Weak Hausdorff space [60%] (Computing) [Separation axioms] [Properties of topological spaces] ... Closed set Continuity Space compact ... compact space [math]\displaystyle{ C, ... space is strongly locally compact if ...
28. Quaternion-Kähler symmetric space [58%] (Computing) [Lie groups] [Homogeneous spaces] [Riemannian geometry] ... symmetric space with positive Ricci curvature is compact and simply connected, and ... quaternion-Kähler symmetric space or Wolf space is ...
29. Compact state [58%] (Earth) [Political geography] ... Compact states are one of six different ... A compact state in the political ... ISBN:9780470553039 See also Compact space ...
30. Locally compact group [58%] (Computing) [Topological groups] ... field Locally compact space – Type of ... a group G is a locally compact space if ... topological vector space is locally compact if ...
31. Quasitopological space [58%] (Computing) [Topology] ... quasi-topology on the space of continuous maps from one space to another. ... every compact Hausdorff space C a ...
32. Countably compact space [58%] (Computing) [Compactness (mathematics)] [Properties of topological spaces] ... countably compact space that is not compact.[3] Properties Every compact space ... topological space X is called countably compact ...
33. Cocompact group action [58%] (Computing) [Group actions (mathematics)] ... compact subset K of X such that the image ... on a topological space X is cocompact if the quotient space X/G is a compact ...
34. Baire measure [57%] (Computing) [Measures (measure theory)] ... of Baire sets of a topological space whose value on every compact Baire set is ... measure on a compact space is always regular. ...
35. Eberlein compactum [57%] (Computing) [General topology] ... a compact topological space homeomorphic to a subset of a Banach space with the weak topology. Every compact metric ...
36. Compact space [57%] (Computing) [Topology] [Properties of topological spaces] [General topology] ... of euclidean space is compact in this ... the idea is that a compact space has no ...
37. Uniformly connected space [57%] (Computing) [Uniform spaces] ... space In topology and related areas of ... Properties A compact uniform space is ...
38. Exhaustion by compact subsets [55%] (Computing) [General topology] [Mathematical analysis] [Compactness (mathematics)] ... exhaustion by compact subsets of a ... compact sets means the space is σ-compact ...
39. Lindelöf space [53%] (Computing) [Properties of topological spaces] [General topology] [Compactness (mathematics)] ... a Lindelöf space and a compact space is ... Lindelöf space is compact if and only if it is ...
40. Compact dimension [53%] (Physics) [String theory] ... theory which are made compact are said to ... theoretical physics, a compact dimension is ...
41. Hilbert–Schmidt integral operator [53%] (Computing) [Operator theory] [Linear operators] ... -dimensional Euclidean space R n , a ... compact Hausdorff space s. Specifically, ...
42. Baire set [52%] (Computing) [Measure theory] [General topology] ... compact Hausdorff space to be the elements ... locally compact Hausdorff space form the ...
43. Kempf–Ness theorem [52%] (Computing) [Theorems in algebraic geometry] [Invariant theory] ... compact subgroup of the reductive ... group. If the complex vector space is given ...
44. Topological spaces [52%] (Category) [General topology] [Topology] ... total. Topological space Γ-space A ... Cantor tree Comb space Compact convergence ...
45. Limit point compact [52%] (Computing) [Compactness (mathematics)] [Properties of topological spaces] ... compact space (and hence every compact ... topology. So a space is limit point compact ...
46. Radon measure [52%] (Computing) [Integral representations] [Measures (measure theory)] ... of a Hausdorff topological space X that is finite on all compact sets, outer ...
47. Cantor cube [52%] (Computing) [Topological groups] ... cubes are special among compact groups because every compact group is a continuous ...
48. Banach–Mazur theorem [51%] (Computing) [Theorems in functional analysis] [Functional analysis] [Theory of continuous functions] ... space of continuous paths. It is named ... find a compact Hausdorff space and an ...
49. Extremally disconnected space [51%] (Computing) [Properties of topological spaces] ... Short description: Topological space in ... space that is also compact and ...
50. Banach–Stone theorem [51%] (Computing) [Theorems in functional analysis] [Operator theory] [Theory of continuous functions] ... recover a compact Hausdorff space X from the Banach space structure of the space C ...
51. General topology [51%] (Category) [Topology] ... Cauchy space Cellular space Characterizations ... function Baire set Baire space Banach–Mazur ...
52. Locally normal space [51%] (Computing) [Properties of topological spaces] [Topology] ... particularly topology, a topological space X is ... given space Locally compact space – Type of ...
53. Riesz–Markov–Kakutani representation theorem [50%] (Computing) [Integral representations] [Duality theories] [Theorems in functional analysis] ... a compact space or a locally compact ... functions on a locally compact space to ...
54. Excluded point topology [50%] (Computing) [Topological spaces] ... [math]\displaystyle{ X }[/math] be a space ... closed compact neighborhoods. The space ...
55. Compact object [50%] (Computing) [Category theory] ... In mathematics, compact objects , also ... topological space if and only if is compact as ...
56. Locally compact field [49%] (Computing) [Topology] ... a locally compact Hausdorff space.[1] ... In algebra, a locally compact field is ...
57. Compactly generated space [49%] (Computing) [Homotopy theory] [General topology] ... space of a weakly locally compact space. ... compact spaces. a topological space ...
58. List of general topology topics [49%] (Computing) [Outlines] [Outlines of mathematics and logic] [Mathematics-related lists] ... Paracompact space Locally compact space Compactly ... Compact space Relatively compact subspace ...
59. Topological property [49%] (Computing) [Homeomorphisms] [Properties of topological spaces] ... space is sequentially compact if every ... Compact. A space is compact if every open ...
60. Banach spaces [49%] (Category) [Normed spaces] ... Banach space A Approximation property Asplund space Aubin–Lions lemma Auerbach's ...
61. Bohr compactification [48%] (Computing) [Compactification (mathematics)] [Harmonic analysis] [Topological groups] ... compactification of a topological group G is a compact ... topological space into a compact space ...
62. Cohomology with compact support [48%] (Computing) [Cohomology theories] ... requiring that cocycles should have compact ... In mathematics, cohomology with compact ...
63. Locally compact abelian group [48%] (Computing) [Topological groups] [Abelian group theory] ... theory, locally compact abelian groups are ... topological space is locally compact and ...
64. Pseudocompact space [48%] (Computing) [Compactness (mathematics)] [Properties of topological spaces] ... weaker result that every compact space is ... sequentially compact space is ...
65. Kodaira embedding theorem [48%] (Computing) [Theorems in algebraic geometry] [Theorems in complex geometry] ... the complex numbers, amongst compact ... compact Kähler manifolds In mathematics, the ...
66. Compactification [48%] (Computing) [Compactification (mathematics)] ... the real line into a compact space by ... compact space. A compact space is a space ...
67. List of simple Lie groups [48%] (Computing) [Mathematics-related lists] [Lie groups] ... space Compact symmetric space ... Compact symmetric space Non-Compact symmetric ...
68. James's theorem [48%] (Computing) [Theorems in functional analysis] ... space is reflexive if and only if every ... Banach space is weakly compact if and only ...
69. Toeplitz algebra [47%] (Computing) ... space H2, the Toeplitz algebra consists of ... unilateral shift on the Hilbert space ...
70. Realcompact space [47%] (Computing) [Properties of topological spaces] [Compactness (mathematics)] ... that a Hausdorff space X is compact it is ... topological space X. If Y is a real compact ...
71. Mackey space [47%] (Computing) [Topological vector spaces] ... functional analysis, a Mackey space is a locally convex topological vector space X such ...
72. Calabi–Eckmann manifold [47%] (Computing) [Complex manifolds] ... constructed as follows. Consider the space , ... often, Calabi–Eckmann space ), named after ...
73. Random compact set [47%] (Computing) [Statistical randomness] ... In mathematics, a random compact set is essentially a compact set-valued random ...
74. Regular measure [47%] (Computing) [Measures (measure theory)] ... topological space is a measure for which ... compact Hausdorff space with a countable ...
75. Harish-Chandra's Ξ function [47%] (Computing) [Special functions] [Representation theory] [Harmonic analysis] ... a maximal compact subgroup of a ... define Harish-Chandra's Schwartz space ...
76. Sion's minimax theorem [47%] (Computing) [Mathematical theorems] [Mathematical optimization] [Game theory] ... states:Let be a compact convex subset of a linear topological space and a convex ...
77. Sub-Stonean space [47%] (Computing) [Properties of topological spaces] ... In topology, a sub-Stonean space is a locally compact Hausdorff space such that ...
78. Peixoto's theorem [47%] (Computing) [Theorems in dynamical systems] [Stability theory] ... space of all flows endowed with C 1 ... on surfaces, i.e. compact ...
79. Mumford's compactness theorem [47%] (Computing) [Compactness theorems] [Kleinian groups] [Riemann surfaces] ... In mathematics, Mumford's compactness theorem states that the space of compact ...
80. Ky Fan's inequality [47%] (Computing) [Game theory] ... Suppose that is a convex compact subset of a Hilbert space and that is a function ...
81. Ky Fan inequality [47%] (Software) [Game theory] ... Suppose that is a convex compact subset of a Hilbert space and that is a function ...
82. Modes of convergence [47%] (Computing) [Convergence (mathematics)] ... Euclidean space s, and the real/complex numbers. Also note that any metric space ...
83. Trapping region [47%] (Computing) [Systems theory] [Applied mathematics] [Dynamical systems] ... phase space [math]\displaystyle{ D }[/math], a subset of the phase space ...
84. F. Riesz's theorem [46%] (Computing) [Topological vector spaces] [Lemmas] [Theorems in functional analysis] ... that a topological vector space (TVS) is ... Hausdorff topological vector space (TVS) is ...
85. Core-compact space [46%] (Computing) [Topology] ... locally compact space in the ... (weakly) locally compact space is ...
86. Algebraically compact module [46%] (Computing) [Model theory] [Module theory] ... mathematics, algebraically compact ... space is algebraically compact (since it is ...
87. Harnack's principle [46%] (Computing) [Mathematical principles] [Theorems in complex analysis] [Harmonic functions] ... case, the convergence is uniform on compact ... the Euclidean space , which are ...
88. Moishezon manifold [46%] (Computing) [Analytic geometry] [Algebraic geometry] ... algebraic space structure; more ... is a compact complex manifold such that ...
89. Differentiable vector–valued functions from Euclidean space [46%] (Computing) [Topological vector spaces] [Generalizations of the derivative] [Functions and mappings] ... vector-valued function from Euclidean space is ... compact subsets and is a Fréchet space , then ...
90. Spectrum of a C*-algebra [46%] (Computing) [Spectral theory] [C-algebras] ... Hilbert space H is irreducible if, and ... particular, suppose X is a compact Hausdorff space ...
91. Stone–Čech compactification [46%] (Computing) [Compactification (mathematics)] [General topology] ... compact Hausdorff space "generated" by X , ... compact Hausdorff space βX . The ...
92. Maximal compact subgroup [46%] (Computing) [Lie groups] [Topological groups] ... In mathematics, a maximal compact ... maximal compact K and a Euclidean space – G = ...
93. Compact convergence [46%] (Computing) [Topological spaces] [Topology of function spaces] [Convergence (mathematics)] ... In mathematics compact convergence (or ... is a compact space and ...
94. Alexandroff extension [45%] (Computing) [Compactification (mathematics)] [General topology] ... topological space X to a compact Hausdorff ... of X is a certain compact space X* ...
95. Parovicenko space [45%] (Computing) [General topology] ... In mathematics, a Parovicenko space is a topological space similar to the space ...
96. Totally disconnected space [45%] (Computing) [Properties of topological spaces] [General topology] ... locally compact Hausdorff space has small ... fact, every compact metric space is a ...
97. Negative-dimensional space [45%] (Computing) [Topology] [Properties of topological spaces] [Descriptive set theory] ... Short description: Space that allows ... compact space Mt0 is the hole in this ...
98. Weak convergence [45%] (Computing) [Hilbert space] ... space H is said to converge weakly to a ... Hilbert space is convergence of a ...
99. Vanish at infinity [45%] (Computing) [Mathematical analysis] ... For a given locally compact space ... f }[/math] on a locally compact space ...
100. Fujiki class C [45%] (Computing) [Complex manifolds] [Algebraic geometry] ... bimeromorphic to a compact Kähler manifold. ... "On the douady space of a compact ...
101. Mesocompact space [65%] (Computing) [Properties of topological spaces] [Compactness (mathematics)] ... , a topological space is said to be mesocompact if every open cover has a compact-finite open ... mesocompactness: Every compact space, and more ...
102. P-compact group [57%] (Computing) [Symmetry] [Group theory] [Manifolds] ... , a p-compact group is a homotopical version ... finite loop space defines a p-compact group. (Here ... space of) a compact connected Lie group defines ...
103. Compact-open topology [56%] (Computing) [Topology of function spaces] [General topology] ... compact Hausdorff (or preregular) space ... is a uniform space, then the compact-open topology ... that are the image of a compact Hausdorff space. Of course ...
104. Kaluza–Klein black hole [55%] (Physics) [Theory of relativity] [Black holes] ... Kaluza–Klein space, i.e. higher-dimensional spacetime with compact dimensions. They may also ...
105. Compact embedding [54%] (Computing) [General topology] [Functional analysis] [Compactness (mathematics)] ... ) is compact. Definition (normed spaces) Let X and Y ... spaces) Let (X, T) be a topological space, and let ... embedded expresses the idea that one set or space ...
106. Global Digital Compact [54%] (Organization) [Organizations] [Organizations (Engineering)] [Digital technology] ... of this compact is to ensure that digital technologies ... -compact The Global Digital Compact is an initiative ... Global Digital Compact Abbreviation GDC Legal status ...
107. Compact [52%] (Religion) [National conservatism] ... of Compact is Jürgen Elsässer, CEO ... 2013) is a German magazine. Compact is the most ... Compact (stylized COMPACT , published ...
108. Erdős space [52%] (Computing) [Topological spaces] ... In mathematics, Erdős space is a topological space named after Paul Erdős, who described it in 1940. Erdős space is defined as a subspace ...
109. Banach bundle [50%] (Computing) [Banach spaces] [Noncommutative geometry] ... over a topological Hausdorff space , such that each fiber has the structure of a Banach space . Definition Let be a topological Hausdorff space ...
110. Montel space [50%] (Computing) [Topological vector spaces] [Functional analysis] ... space, named after Paul Montel, is any topological ... Short description: Barrelled space where closed and bounded subsets are compact In functional ...
111. Markov–Kakutani fixed-point theorem [49%] (Computing) [Fixed-point theorems] [Topological vector spaces] [Theorems in functional analysis] ... affine self-mappings of a compact convex subset in a locally convex topological vector space has ... topological vector space, with a compact convex subset ...
112. Taut submanifold [49%] (Computing) [Differential geometry] ... function.[citation needed] If N is not compact, one needs ... In mathematics, a (compact) taut submanifold N of a space form M is a compact submanifold ...
113. Vitali–Carathéodory theorem [49%] (Computing) [Theorems in real analysis] ... compact set, outer regular, and tight when ... X be a locally compact Hausdorff space equipped ...
114. Heine–Borel theorem [48%] (Computing) [Articles containing proofs] [Compactness theorems] [Properties of topological spaces] ... :For a subset S of Euclidean space R n , the following two ... the term boundedly compact space ) if each closed bounded ... compact subset S of a Hausdorff topological space X ...
115. Fort space [48%] (Computing) [Topological spaces] ... space 2 Modified Fort space 3 Fortissimo space 4 See ... is not compact, but it is a Lindelöf space. It is obtained ... but a finite number of points of X. The space X is compact ...
116. Axiom of countability [48%] (Computing) [Mathematical axioms] [General topology] ... in the set first-countable space: every point has ... ] sequential space: a set is open if every sequence ... subcover σ-compact space: there exists ...
117. Glossary of topology [48%] (Computing) [Glossaries of mathematics] [Properties of topological spaces] [Geometric topology] ... compact space is Lindelöf and paracompact. Therefore, every compact Hausdorff space is normal. See ... \A is meagre. Also called residual. Compact A space ...
118. Supercompact space [47%] (Computing) [Properties of topological spaces] [Compactness (mathematics)] ... of the topological space from elements of the subbasis has ... , a topological space is called supercompact ... supercompact space is compact. Conversely, many ...
119. Non-Hausdorff manifold [47%] (Computing) [Topology] [Manifolds] [General topology] ... , such a space is locally compact in the sense that every ... , the space illustrates that the closure of a compact set ... base of closed compact neighborhoods. The space does ...
120. Proper map [47%] (Computing) [Theory of continuous functions] ... set / Closed set Continuity Space compact Hausdorff ... ] A topological space is compact if and only ... from a compact space to a Hausdorff space is both ...
121. Cone [47%] (Computing) [Algebraic topology] [Topology] ... the projection . If is a non-empty compact subspace ... , the cone of a topological space is intuitively obtained ... -empty compact subspace of Euclidean space ...
122. Compact operator [46%] (Computing) [Operator theory] [Linear operators] [Compactness (mathematics)] ... bounded operators on the space. Indeed, the compact ... . The compact operators from a Banach space to itself ... { K(X,Y) }[/math] denotes the space of compact ...
123. Noetherian topological space [46%] (Computing) [Scheme theory] [Properties of topological spaces] [Algebraic geometry] ... . The Noetherian property of a topological space ... In mathematics, a Noetherian topological space, named for Emmy Noether, is a topological space ...
124. Grothendieck space [46%] (Computing) [Banach spaces] ... ]\displaystyle{ \mu }[/math] (a Stonean compact space is a Hausdorff compact space in which the closure ... on a Stonean compact space [math]\displaystyle{ K ...
125. Brauner space [46%] (Computing) [Topological vector spaces] [Functional analysis] ... of mathematics a Brauner space is a complete compactly generated locally convex space [math]\displaystyle{ X ... compact topological space, and [math]\displaystyle ...