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On countable-to-one maps

✍ Scribed by Chuan Liu; Shou Lin


Book ID
108286372
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
137 KB
Volume
154
Category
Article
ISSN
0166-8641

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πŸ“œ SIMILAR VOLUMES


Closed maps on spaces with point-countab
✍ Alexander Shibakov πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 134 KB

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