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τ-locally invariant groups

✍ Scribed by Olga V. Sipacheva

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
144 KB
Volume
107
Category
Article
ISSN
0166-8641

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✦ Synopsis

A class of τ -locally invariant topological groups is introduced; this class is a new one for τ a limit cardinal, and it coincides with Arhangel'skiȋ's class of λ-balanced groups for τ = λ + . It is proved that a topological group is τ -locally invariant if and only if this group is topologically isomorphic to a subgroup of a direct product of groups of topological character less than τ . Topological spaces whose free topological groups are τ -locally invariant are described.

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