This is a list of general topology topics.
Basic concepts edit
Limits edit
Topological properties edit
Compactness and countability edit
- Compact space
- Paracompact space
- Locally compact space
- Compactly generated space
- Axiom of countability
- Sequential space
- First-countable space
- Second-countable space
- Separable space
- Lindelöf space
- Sigma-compact space
Connectedness edit
Separation axioms edit
Topological constructions edit
- Direct sum and the dual construction product
- Subspace and the dual construction quotient
- Topological tensor product
Examples edit
- Discrete space
- Trivial topology
- Cofinite topology
- Finer topology
- Product topology
- Quotient space
- Unit interval
- Continuum (topology)
- Extended real number line
- Long line (topology)
- Sierpinski space
- Cantor set, Cantor space, Cantor cube
- Space-filling curve
- Topologist's sine curve
- Uniform norm
- Weak topology
- Strong topology
- Hilbert cube
- Lower limit topology
- Sorgenfrey plane
- Real tree
- Compact-open topology
- Zariski topology
- Kuratowski closure axioms
- Unicoherent
- Solenoid (mathematics)
Uniform spaces edit
Metric spaces edit
Topology and order theory edit
Descriptive set theory edit
Dimension theory edit
Combinatorial topology edit
Foundations of algebraic topology edit
Topology and algebra edit
See also edit
- Topology glossary
- List of topology topics
- List of geometric topology topics
- List of algebraic topology topics
- Publications in topology