Article ID Journal Published Year Pages File Type
4658341 Topology and its Applications 2015 5 Pages PDF
Abstract
Given a semitopological group G, denote by N(e) the family of open neighborhoods of the identity e in G. We show that K=⋂{U¯:U∈N(e)} is a closed invariant subgroup of G. Therefore, the T2-reflection of G is topologically isomorphic to G/K. Also, we show that in every semitopological group G, the following conditions are equivalent:
Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
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