"Nice" Topological Spaces

Basis

Closed

Closure

Compact

Connected

Connected component

Continuous

Convergence

Dense

Discrete topology

Euclidean topology

Extended Real Line

First-countable

Hausdorff

Homeomorphism

Homotopy

Induced Topology

Interior Point

Lindëlof Space

Locally Compact

Locally constant

Loop

Metric Space

Metrizable

Neighbourhood

Open

Paracompact

Path connected

Precompact

Proper

Relatively Compact

Second-countable

Separable

Sequentially Compact

Simply connected

Standard topology

Topological Space

Topology

Totally Bounded

Trivial topology

σ-compact