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- Title
Closed images of certain locally compact spaces.
- Authors
Zhaowen Li; Qingguo Li
- Abstract
We show that (1) a space is a closed L-image of a paracompact locally compact space if and only if it has a point-countable HPC k-system; (2) a regular space is a closed L-image of a locally compact metric space if and only if it has a point-countable HPC mk-system if and only if it is a k′-space with a point-countable compact k-network; (3) a regular space is a closed image of a locally compact metric space if and only if it is a Fréchet space with a point-countable weak-compact k-network.
- Subjects
COMPACT spaces (Topology); METRIC spaces; FRECHET spaces; SEQUENCE spaces; MATHEMATICAL models
- Publication
Journal of Computational Analysis & Applications, 2010, Vol 12, Issue 1A, p703
- ISSN
1521-1398
- Publication type
Article