On b*- COMPACTNESS and b- COMPACTNESS | ||
journal of the college of basic education | ||
Article 1, Volume 18, Issue 72, February 2012, Pages 55-63 | ||
Author | ||
Adea Khaliefa.Al-Obiadi College of Science . Al-Mustansiriyia Univesity | ||
Abstract | ||
In this paper we use the notions of b- open sets and b*-open sets to introduce and study new generalizations of compactness, which are termed by b-compactness and b*- compactness. We show that b- compactness is strictly stronger than b*- compactness, and this is stronger than compactness. Several characterizations and properties of these spaces are given. Further we introduce and study the notion of b-irresolute functions. | ||
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