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Semitopological isomorphism of topological groups. (English) Zbl 1066.22001

The author, in a previous paper, has introduced the notion of semitopological isomorphism between topological groups. In the present paper a criterion is given for a continuous isomorphism to be semitopological. It is shown that the property of an isomorphism to be semitopological is preserved by the operations of taking subgroups, quotient groups and direct products. The paper ends with some questions regarding semitopological isomorphisms.

MSC:

22A05 Structure of general topological groups
16W80 Topological and ordered rings and modules
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