Category:General topology
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Here is a list of articles in the General topology category of the Computing portal that unifies foundations of mathematics and computations using computers.
In mathematics, general topology or point set topology is that branch of topology which studies properties of general topological spaces (which may not have further structure; for example, they may not be manifolds), and structures defined on them.
Subcategories
This category has the following 7 subcategories, out of 7 total.
C
D
F
S
T
Pages in category "General topology"
The following 166 pages are in this category, out of 166 total.
- General topology (computing)
*
- Glossary of topology (computing)
- List of general topology topics (computing)
A
- Adherent point (computing)
- Alexandroff extension (computing)
- Appert topology (computing)
- Axiom of countability (computing)
B
- Baire category theorem (computing)
- Baire function (computing)
- Baire set (computing)
- Baire space (computing)
- Banach–Mazur game (computing)
- Base (topology) (computing)
- Boundary (topology) (computing)
C
- Category of topological spaces (computing)
- Cauchy space (computing)
- Cellular space (computing)
- Characterizations of the category of topological spaces (computing)
- Clopen set (computing)
- Closed set (computing)
- Closeness (mathematics) (computing)
- Closure (topology) (computing)
- Cocompact embedding (computing)
- Cocountable topology (computing)
- Coercive function (computing)
- Cofiniteness (computing)
- Coherent topology (computing)
- Compact embedding (computing)
- Compact space (computing)
- Σ-compact space (computing)
- Compact-open topology (computing)
- Compactly generated space (computing)
- Comparison of topologies (computing)
- Completely metrizable space (computing)
- Completely uniformizable space (computing)
- Connected space (computing)
- Countably generated space (computing)
- Counterexamples in Topology (computing)
- Cover (topology) (computing)
- Curve (computing)
- Cut-point (computing)
- Cylinder set (computing)
D
- Denjoy–Riesz theorem (computing)
- Dense set (computing)
- Derived set (mathematics) (computing)
- Development (topology) (computing)
- Directed set (computing)
- Discrete space (computing)
- Disjoint union (topology) (computing)
- Divisor topology (computing)
- Double origin topology (computing)
E
- Eberlein compactum (computing)
- Either–or topology (computing)
- Ellis–Numakura lemma (computing)
- Embedding (computing)
- End (topology) (computing)
- Esakia space (computing)
- Esenin-Volpin's theorem (computing)
- Excisive triad (computing)
- Exhaustion by compact sets (computing)
- Exterior (topology) (computing)
F
- Filter (mathematics) (computing)
- Final topology (computing)
- Finite intersection property (computing)
- Finite topology (computing)
- First-countable space (computing)
- Fréchet–Urysohn space (computing)
- Furstenberg's proof of the infinitude of primes (computing)
G
- Gδ set (computing)
- Gδ space (computing)
- Generic point (computing)
- Gluing axiom (computing)
H
- Half-disk topology (computing)
- Hedgehog space (computing)
- Heine–Borel theorem (computing)
- Hilbert manifold (computing)
I
- Induced topology (computing)
- Initial topology (computing)
- Integer broom topology (computing)
- Interior (topology) (computing)
- Interlocking interval topology (computing)
- Irreducible component (computing)
- Isolated point (computing)
K
- Katětov–Tong insertion theorem (computing)
- Kuratowski–Ulam theorem (computing)
L
- Lawson topology (computing)
- Lexicographic order topology on the unit square (computing)
- Limit (mathematics) (computing)
- Limit point (computing)
- Lindelöf space (computing)
- Linear flow on the torus (computing)
- List of examples in general topology (computing)
- Local homeomorphism (computing)
- Local property (computing)
- Locally connected space (computing)
- Locally finite collection (computing)
- Locally finite space (computing)
M
- Mapping torus (computing)
- Meagre set (computing)
- Metrizable space (computing)
- Metrization theorem (computing)
- Moore space (topology) (computing)
N
- N-connected space (computing)
- N-skeleton (computing)
- Nagata–Smirnov metrization theorem (computing)
- Neighbourhood (mathematics) (computing)
- Neighbourhood space (computing)
- Neighbourhood system (computing)
- Nested interval topology (computing)
- Net (mathematics) (computing)
- Nodec space (computing)
- Non-Hausdorff manifold (computing)
- Nowhere dense set (computing)
O
- Open and closed maps (computing)
- Open set (computing)
- Order topology (computing)
P
- P-space (computing)
- Pair of spaces (computing)
- Parovicenko space (computing)
- Point-finite collection (computing)
- Pointclass (computing)
- Pointless topology (computing)
- Polish space (computing)
- Polyadic space (computing)
- Poset topology (computing)
- Pretopological space (computing)
- Prime integer topology (computing)
- Product topology (computing)
Q
- Quotient space (topology) (computing)
R
- Rational sequence topology (computing)
- Real-valued function (computing)
- Refinement (topology) (computing)
- Remote point (computing)
S
- S and L spaces (computing)
- Saturated set (computing)
- Scott continuity (computing)
- Second-countable space (computing)
- Separable space (computing)
- Sequential space (computing)
- Set-theoretic topology (computing)
- Sierpiński space (computing)
- Sober space (computing)
- Spectral space (computing)
- Standard Borel space (computing)
- Stone functor (computing)
- Stone space (computing)
- Stone's representation theorem for Boolean algebras (computing)
- Stone–Čech compactification (computing)
- Subbase (computing)
- Subspace topology (computing)
T
- Thomae's function (computing)
- Topological game (computing)
- Topological indistinguishability (computing)
- Topological space (computing)
- Totally disconnected space (computing)
- Trivial topology (computing)
- Tychonoff cube (computing)
U
- Unicoherent space (computing)
- Uniform continuity (computing)
- Upper topology (computing)
V
- Volterra's function (computing)
W
- Wallman compactification (computing)
- Weak topology (computing)
Z
- Zariski topology (computing)
- Zorich's theorem (computing)
Γ
- Γ-space (computing)