List of general topology topics
This is a list of general topology topics, by Wikipedia page. See also topology glossary.
Metric spaces
- Manhattan distance
- Ultrametric space
- Uniform continuity
- Pointwise convergence
- Metrization theorems
- Complete space
- Baire category theorem
- Nowhere dense
- Baire space
- Banach-Mazur game
- Co-meagre
- Polish space
Topological spaces: basic terms
- Open set
- Closed set
- Closure (mathematics)
- Clopen set
- Dense (topology)
- Limit point
- Separable
- Boundary
- G-delta set
- Germ (mathematics)
- Atlas (topology
Topological spaces: examples
- Discrete space
- Trivial topology
- Finer topology
- Product topology
- Quotient space
- Unit interval
- Extended real number line
- Long line
- Cantor set, Cantor space
- Space-filling curve
- Topologist's sine curve
- Uniform norm
- Hilbert cube
- Lower limit topology
- Real tree
- Zariski topology
- Kuratowski closure axioms
- Unicoherent
Compact spaces
- Finite intersection property
- Compactification
- Tychonoff's theorem
- Locally compact space
- Measure of non-compactness
Separation axioms
- T0 space
- T1 space
- Hausdorff space
- Regular space
- Tychonoff space
- Normal space
- Urysohn's lemma
- Tietze extension theorem
- Paracompact
- Separated sets
Countability
Descriptive set theory
Topological algebra
- Topological group
- Topological ring
- Topological vector space
- Properly discontinuous
- Stone's duality
- Sheaf space
Combinatorial topology