In mathematics, general topology or point set topology is that branch of topology which studies elementary properties of topological spaces and structures defined on them.

Subcategories

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S

• Separation axioms

Articles in category "General topology"

There are 73 articles in this category.

Axiom of countability B Baire space Banach-Mazur game Base (topology) Boundary (topology) C Cauchy space Clopen set Closed set Closeness (mathematics) Closure (topology) Compact space Compact-open topology Compactly generated space Connected space Continuous function Continuous function (topology) Counterexamples in Topology Cover (topology) Curve D Dense set Directed set Discrete space E Exterior (topology) F Finer topology

F cont. Finite intersection property First-countable space G General topology Gluing axiom H Homeomorphism I Interior (topology) Isolated point K Kuratowski closure axioms L Lebesgue covering dimension Lebesgue's number lemma Limit point Lindelöf space List of examples in general topology List of general topology topics Local homeomorphism Locally Locally compact space Lower limit topology M Metrization theorem N Nagata-Smirnov metrization theorem Neighbourhood (mathematics) Neighbourhood system Nowhere dense set O Open and closed maps Open set

O cont. Order topology P Paracompact space Pointless topology Product topology Q Quotient space R Relatively compact subspace S Second-countable space Separable space Separation axiom Sierpinski space Sigma-compactness Smith-Volterra-Cantor set Sober space Spectral space Stone's representation theorem for Boolean algebras Subbase Subspace topology T Topology glossary Trivial topology U Unicoherent Upper topology V Volterra's function W Weak topology Z Zariski topology