General Topology

/Definition, characterisations/100% /Constructions/100% /Bases/100% /Continuity/ continuity and constructions /Separation/ separation and constructions /Countability, density/100% /Compact spaces/ proper and continuous maps are closed, alexandroff and stone-cech compactifications, tychonoff, compactness and constructions, paracompactness and partition of unity /Filters/100% /Connected spaces/ connectedness and constructions /Miscellaneous spaces/ /Nets/ 100% /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/100% /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/ Sources Bourbaki, General Topology Grothendieck TVS Hatcher Algebraic Topology Lamotke Semisimpliziale algebraische Topologie Topology G 75%