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Completions of topological Abelianp-groups

✍ Scribed by D. O. Cutler


Publisher
Akadmiai Kiad
Year
1972
Tongue
English
Weight
321 KB
Volume
22
Category
Article
ISSN
1588-2632

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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