𝔖 Bobbio Scriptorium
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A note on the point-countable base question

✍ Scribed by Gary Gruenhage


Book ID
107913796
Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
421 KB
Volume
44
Category
Article
ISSN
0166-8641

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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