In mathematics, topology is a branch of geometry concerned with the study of topological spaces. (The term topology is also used for a set of open sets used to define topological spaces)

Elementary properties of topological spaces are discussed in general topology.

Subcategories

There are 13 subcategories to this category.

Algebraic topology D Differential topology F Fiber bundles G General topology

G cont. Geometric group theory Geometric topology O Orientation P Platonic solids T Topological algebra

T cont. Topological graph theory Topological spaces Topologists U Uniform spaces

Articles in category "Topology"

There are 116 articles in this category.

Topology A Adjunction space Affine representation Alexander horned sphere Alexandrov topology Algebra bundle Algebraic topology Algorithmic topology Antipodal point Approach space B Ball (mathematics) Banach fixed point theorem Band sum Bernoulli number Bogdanov Affair Borel algebra Box topology Brouwer fixed point theorem C Cantor set Cauchy sequence Cocountable Cofinite Compact set Compact space Compactification (mathematics) Cone (topology) Connected space Connected sum Continuous function Contractible space Cover (topology) Covering map Curve D Derivative algebra (abstract algebra) Descent (category theory) Direct sum topology Discrete space F F-sigma set

F cont. Free regular set G G-delta set Genus (mathematics) Geometric topology Germ (mathematics) H Hairy ball theorem Ham sandwich theorem Hausdorff space Heine-Borel theorem Hilbert-Smith conjecture Homeomorphism I Initial topology Interior algebra Interval (mathematics) Isolated point J Jordan curve theorem K Kernel of a function Kolmogorov space L Lefschetz fixed-point theorem Limit (mathematics) Limit point Lindelöf space M Manifold Metric (mathematics) Metric space N Nerve of an open covering Net (mathematics) Normal family Nowhere continuous O Orientable manifold P Paracompact space Partition of unity Path (topology) Plateau (mathematics) Point (topology) Pointed space Polish space Polyhedron Product topology

P cont. Properly discontinuous Proximity space Q Quotient space R Real tree Regular space Rhombic enneacontahedron S Scott continuity Semi-locally simply connected Separated sets Seven Bridges of Königsberg Simplex Simplicial complex Smash product Smith-Volterra-Cantor set Solid torus Specialization (pre)order Sperner's lemma Sphere Star refinement Stone duality Subspace topology Support (mathematics) Suspension (topology) T T1 space Tietze extension theorem Topological module Topological property Topological space Topology glossary Totally bounded space Triangulation (topology) Trivial topology Tychonoff space Tychonoff's theorem U Uniform space Unit interval Urysohn's lemma W Weak topology Wedge sum