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z-Compact spaces | ||
| Journal of University of Anbar for Pure Science | ||
| Article 35, Volume 3, Issue 1, 2009, Pages 118-121 PDF (53.7 K) | ||
| DOI: 10.37652/juaps.2009.15438 | ||
| Author | ||
| Atallah Th. Al-Ani | ||
| Abstract | ||
| Lindelof spaces, using multifunctions, are given.Our main results are .A space X is z-compact iff for every space Y and z-closed graph multifunction on X into Y the image of every z-closed set in X, is closed in Y. A space X is z-Lindelof iff for every P-space Y and z-closed graph multifunction on X into Y the image of every z-closed set in X is closed in Y. | ||
| Keywords | ||
| compact spaces; Lindelof spaces compact space; Closed space; pseudocompact space; realcompact space | ||
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