Closed maps on metric spaces
β Scribed by Yoshio Tanaka
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 733 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0166-8641
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π SIMILAR VOLUMES
Let f : X β Y be a map. f is a sequence-covering map if whenever In this paper we investigate the structure of sequence-covering images of metric spaces, the main results are that (1) every sequence-covering, quotient and s-image of a locally separable metric space is a local β΅ 0 -space; (2) every
We prove a version of LaΕ‘nev's theorem for spaces with point-countable bases. Then we study the subspaces of closed images of regular spaces with point-countable bases and show that every such subspace has countable Ο-character and a point-countable Ο-base. The latter result is extended to a wider
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