General Topology


 * /Definition, characterisations/
 * /Constructions/
 * /Bases/
 * /Continuity/ continuity and constructions
 * /Separation/ separation and constructions
 * /Countability, density/
 * /Compact spaces/ proper and continuous maps are closed, alexandroff and stone-cech compactifications, tychonoff, compactness and constructions, paracompactness and partition of unity
 * /Filters/
 * /Connected spaces/ connectedness and constructions
 * /Miscellaneous spaces/
 * /Nets/
 * /Order topology and semicontinuity/
 * /Uniform spaces/ uniform (equi-)continuity, uniform completion, image of complete spaces in complete spaces, closed subspace of complete space is complete, Tietze–Urysohn for normal spaces and equicontinuity
 * /Metric spaces/ pseudometrics (alexandroff in metric setting? or uniform?), metrizability theorem
 * /The compact-open topology/
 * /Homotopy/ things which are invariant under homotopy
 * /Covering spaces/ proper local homeomorphisms are precisely finite covering maps
 * /Fiber bundles and fibrations/
 * /CW complexes/
 * /Simplicial complexes/
 * /Pointed spaces and support/