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
β¦ LIBER β¦
Prime subspaces in free topological groups
β Scribed by Katsuya Eda; Haruto Ohta; Kohzo Yamada
- Book ID
- 107913855
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 627 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0166-8641
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