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Completeness of topological groups

✍ Scribed by M. G. Tkachenko

Publisher
SP MAIK Nauka/Interperiodica
Year
1984
Tongue
English
Weight
870 KB
Volume
25
Category
Article
ISSN
0037-4466

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A topological group G is sequentially complete if it is sequentially closed in any other topological group. We show that for a Tychonoff space X, the free topological group F (X) is sequentially complete iff the free Abelian topological group A(X) is sequentially complete iff X is sequentially close