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COUNTABLY Z-COMPACT SPACES.
- Source :
-
Archivum Mathematicum . 2014, Vol. 50 Issue 2, p97-100. 4p. - Publication Year :
- 2014
-
Abstract
- In this work we study countably z-compact spaces and z-Lindelof spaces. Several new properties of them are given. It is proved that every countably z-compact space is pseuodocompact (a space on which every real valued continuous function is bounded). Spaces which are countably z-compact but not countably compact are given. It is proved that a space is countably z-compact iff every countable z-closed set is compact. Characterizations of countably z-compact and z-Lindelof spaces by multifunctions are given. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00448753
- Volume :
- 50
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Archivum Mathematicum
- Publication Type :
- Academic Journal
- Accession number :
- 96359681
- Full Text :
- https://doi.org/10.5817/AM2014-2-97