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Dyadic subspaces of subgroups of topological groups

โœ Scribed by Yu. V. Tsybenko


Book ID
112473041
Publisher
Springer
Year
1987
Tongue
English
Weight
388 KB
Volume
38
Category
Article
ISSN
0041-5995

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Free topological groups of spaces and th
โœ Ol'ga V. Sipacheva ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 266 KB

We prove that if X is a Tychonoff topological space, Y a subspace of X, and every bounded continuous pseudometric on Y can be extended to a continuous pseudometric on X, then the free topological group F M (Y ) coincides with the topological subgroup of F M (X) generated by Y . For this purpose, a n