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Free homogeneous spaces and their subspaces

✍ Scribed by N. M. Pyrch


Publisher
Springer US
Year
2010
Tongue
English
Weight
118 KB
Volume
168
Category
Article
ISSN
1573-8795

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Free topological groups of spaces and th
✍ Ol'ga V. Sipacheva πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 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