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Norms on Free Topological Groups

✍ Scribed by Bicknell, K.; Morris, S. A.


Book ID
120093029
Publisher
Oxford University Press
Year
1978
Tongue
English
Weight
113 KB
Volume
10
Category
Article
ISSN
0024-6093

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✍ Dikran Dikranjan; Michael Tkačenko πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 269 KB

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