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22A05 - Topological groups, Lie groups :: Topological and differentiable algebraic systems :: Structure of general topological groups

basic results in topological groups owned by asteroid Birkhoff-Kakutani theorem owned by bci1 Borel G-space owned by bci1 center of a Hausdorff topological group is closed owned by asteroid characterization of Alexandroff groups owned by joking closure of sets closed under a finitary operation owned by yark component of identity of a topological group is a closed normal subgroup owned by asteroid connected locally compact topological groups are $\sigma$ -compact owned by asteroid connected topological group is generated by any neighborhood of identity owned by asteroid example of a proof using nets owned by yark example of an Alexandroff space which cannot be turned into a topological group owned by joking full subgroup owned by Mathprof locally closed subgroups of topological groups are closed owned by asteroid Polish G-space owned by bci1 Polish group owned by bci1 quotient group of a topological group by its identity component is totally disconnected owned by joking subgroup of topological group is either clopen or has empty interior owned by asteroid symmetric set owned by Koro topological G-space owned by bci1 topological group owned by yark topological group (obsolete) owned by rspuzio topological group representation owned by asteroid
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