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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 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 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 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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