Displaying similar documents to “On CB-compact, countably CB-compact and CB-Lindelöf spaces.”

Countably z-compact spaces

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...