Free topological groups of spaces and th
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Ol'ga V. Sipacheva
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Article
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2000
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Elsevier Science
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English
β 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