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On hyperplanes and free subspaces of affine Klingenberg spaces

โœ Scribed by T. Bisztriczky; J. W. (Michael) Lorimer


Publisher
Springer
Year
1994
Tongue
English
Weight
47 KB
Volume
47
Category
Article
ISSN
0001-9054

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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