Countably -compact spaces.
Al-Nashef, Bassam (2001)
International Journal of Mathematics and Mathematical Sciences
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Al-Nashef, Bassam (2001)
International Journal of Mathematics and Mathematical Sciences
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Janković, Dragan, Konstadilaki, Chariklia (1996)
Mathematica Pannonica
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Al-Zoubi, Khalid, Al-Nashef, Bassam (2004)
International Journal of Mathematics and Mathematical Sciences
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Baboolal, D., Backhouse, J., Ori, R.G. (1990)
International Journal of Mathematics and Mathematical Sciences
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H. Bennett, J. Chaber (1990)
Fundamenta Mathematicae
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Yan-Kui Song (2013)
Open Mathematics
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We prove the following statements: (1) every Tychonoff linked-Lindelöf (centered-Lindelöf, star countable) space can be represented as a closed subspace in a Tychonoff pseudocompact absolutely star countable space; (2) every Hausdorff (regular, Tychonoff) linked-Lindelöf space can be represented as a closed G δ-subspace in a Hausdorff (regular, Tychonoff) absolutely star countable space; (3) there exists a pseudocompact absolutely star countable Tychonoff space having a regular closed...
J. Chaber (1976)
Fundamenta Mathematicae
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A.T. Al-Ani (2014)
Archivum Mathematicum
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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...