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On internal characterizations of completely L-regular spaces
Authors:
- Tomasz Kubiak,
- María Angeles De Prada Vicente
Abstract
CompleteL-regularity is internally characterized in terms of separating chains of openL-sets. A possible characterization in terms of normal and separating families of closedL-sets is discussed and it is shown that spaces admitting such families are completelyL-regular. The question of whether the converse holds true remains open. Some partial solutions are however given, e.g. in the class of countably compact spaces. © 1997 Academic Press.
- Record ID
- UAM7e774808cb59467382d5474b208a70f5
- Author
- Journal series
- Journal of Mathematical Analysis and Applications, ISSN 0022-247X
- Issue year
- 1997
- Vol
- 216
- Pages
- 581-592
- ASJC Classification
- ;
- DOI
- DOI:10.1006/jmaa.1997.5690 Opening in a new tab
- Language
- (en) English
- Score (nominal)
- 0
- Score source
- journalList
- Publication indicators
- = 3; = 3; : 1999 = 1.126; : 2006 (2 years) = 0.758 - 2007 (5 years) =1.075
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- Uniform Resource Identifier
- https://researchportal.amu.edu.pl/info/article/UAM7e774808cb59467382d5474b208a70f5/
- URN
urn:amu-prod:UAM7e774808cb59467382d5474b208a70f5
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.