Category:General topology

• General topology

*

• Glossary of topology
• List of general topology topics

A

• Adherent point
• Alexandroff extension
• Appert topology
• Axiom of countability

B

• Baire category theorem
• Baire function
• Baire set
• Baire space
• Banach–Mazur game
• Base (topology)
• Boundary (topology)

C

• Cauchy space
• Cellular space
• Characterizations of the category of topological spaces
• Clopen set
• Closed set
• Closeness (mathematics)
• Closure (topology)
• Cocompact embedding
• Cocountable topology
• Coercive function
• Cofiniteness
• Coherent topology
• Compact embedding
• Compact space
• Σ-compact space
• Compact-open topology
• Compactly generated space
• Comparison of topologies
• Completely metrizable space
• Completely uniformizable space
• Connected space
• Countably generated space
• Counterexamples in Topology
• Cover (topology)
• Curve
• Cut-point
• Cylinder set

D

• Denjoy–Riesz theorem
• Dense set
• Derived set (mathematics)
• Development (topology)
• Directed set
• Discrete space
• Disjoint union (topology)
• Divisor topology
• Double origin topology

E

• Eberlein compactum
• Either–or topology
• Ellis–Numakura lemma
• Embedding
• End (topology)
• Esakia space
• Esenin-Volpin's theorem
• Excisive triad
• Exterior (topology)

F

• Filter (mathematics)
• Final topology
• Finite intersection property
• Finite topology
• First-countable space
• Furstenberg's proof of the infinitude of primes

G

• Gδ set
• Gδ space
• Generic point
• Gluing axiom

H

• Half-disk topology
• Hedgehog space
• Heine–Borel theorem
• Hilbert manifold

I

• Induced topology
• Initial topology
• Integer broom topology
• Interior (topology)
• Interlocking interval topology
• Irreducible component
• Isolated point

K

• Katětov–Tong insertion theorem
• Kuratowski–Ulam theorem

L

• Lawson topology
• Lexicographic order topology on the unit square
• Limit (mathematics)
• Limit point
• Lindelöf space
• Linear flow on the torus
• List of examples in general topology
• Local homeomorphism
• Local property
• Locally connected space
• Locally finite collection
• Locally finite space

M

• Mapping torus
• Meagre set
• Metrization theorem
• Moore space (topology)

N

• N-connected space
• N-skeleton
• Nagata–Smirnov metrization theorem
• Neighbourhood (mathematics)
• Neighbourhood space
• Neighbourhood system
• Nested interval topology
• Net (mathematics)
• Nodec space
• Non-Hausdorff manifold
• Nowhere dense set

O

• Open and closed maps
• Open set
• Order topology

P

• P-space
• Pair of spaces
• Parovicenko space
• Point-finite collection
• Pointclass
• Pointless topology
• Polish space
• Polyadic space
• Poset topology
• Pretopological space
• Prime integer topology
• Product topology

Q

• Quotient space (topology)

R

• Rational sequence topology
• Real-valued function
• Refinement (topology)

S

• S and L spaces
• Saturated set
• Scott continuity
• Second-countable space
• Separable space
• Sequential space
• Set-theoretic topology
• Sierpiński space
• Sober space
• Spectral space
• Standard Borel space
• Stone functor
• Stone space
• Stone's representation theorem for Boolean algebras
• Stone–Čech compactification
• Subbase
• Subspace topology

T

• Thomae's function
• Topological game
• Topological indistinguishability
• Topological space
• Totally disconnected space
• Trivial topology
• Tychonoff cube

U

• Unicoherent space
• Uniform continuity
• Upper topology

V

• Volterra's function

W

• Wallman compactification
• Weak topology

Z

• Zariski topology
• Zorich's theorem

Γ

• Γ-space