mz-Compact Spaces

A.T.Al-Ani

Volume 14 Issue 6

Global Journal of Science Frontier Researc

In this work we study mz-compact spaces and mz-Lindel of spaces, where m is an infinite cardinal number. Several new properties of them are given. It is proved that every mz- compact space is pseuodocompact (a space on which every real valued continuous function is bounded). Characterizations of mz-compact and mz-Lindel of spaces by multifunctions are given.