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A note on spaces with certain point-countable networks

✍ Scribed by Z. -Y. Cai; J. -J. Li

Publisher
Akadmiai Kiad
Year
2008
Tongue
English
Weight
487 KB
Volume
121
Category
Article
ISSN
1588-2632

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πŸ“œ SIMILAR VOLUMES

On spaces with point-countable cs-networ
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✍ Shou Lin; Chuan Liu πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 473 KB

In this paper we discuss three questions about the quotient s-images of metric spaces. The main results are: (1) X is a sequential space with a point-countable cs-network if and only if X is a compactcovering, sequence-covering, quotient and s-image of a metric space. (2) Let X and Y be sequential

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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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✍ Chuan Liu; Yoshio Tanaka πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 775 KB

Recall that a collection 79 of subsets of a space is star-countable if each element of 7 ~ meets at most countably many other elements of 79. We characterize the closed image of a locally separable metric space as a Frrchet space with a star-countable k-network, and give a characterization for the p