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DW Complexes and Their Underlying Topological Spaces

โœ Scribed by Ntumba, Patrice


Book ID
118163527
Publisher
Taylor and Francis Group
Year
2002
Tongue
English
Weight
229 KB
Volume
25
Category
Article
ISSN
1607-3606

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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

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In the above mentioned paper, the remarks 5.2, as stated, are erroneous. Part (b) of it should read "CL(U) E fl,~l~,i-~t To(x) means exactly that p(x) must be an open neighbourhood of x in (X, FL-,))". Part (a) should be postponed, under a modified form, until after Proposition 5.4. This has no bear