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The metrizability of L-topological groups

โœ Scribed by Bayoumi, Fatma; Ibedou, Ismail

Book ID
122490265
Publisher
Elsevier
Year
2013
Weight
341 KB
Volume
21
Category
Article
ISSN
1110-256X

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๐Ÿ“œ SIMILAR VOLUMES

Free topological groups on metrizable sp
Free topological groups on metrizable spaces and inductive limits
โœ Vladimir Pestov; Kohzo Yamada ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 107 KB

We prove that for a metrizable space X the following are equivalent: (i) the free Abelian topological group A(X) is the inductive limit of the sequence {A n (X): n โˆˆ N}, where A n (X) is formed by all words of reduced length n; (ii) X is locally compact and the set of all non-isolated points of X is