Title of article
z-Compact spaces
Author/Authors
Al-Ani, Atallah Th. Irbid National University - College of Science and Information Technology, Jordan
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Abstract
z-compact and z-Lindelof spaces are studied. Characterizations of z-compact spaces and z- 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
z , compact spaces , z , Lindelof spaces compact space , H , closed space , pseudocompact space , realcompact space
Journal title
Journal Of University Of Anbar For Pure Science
Journal title
Journal Of University Of Anbar For Pure Science
Record number
2662954
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