Fuzzy Almost p^*-Compact Space

Anjana Bhattacharyya

Department of Mathematics, Victoria Institution (College), 78 B, A.P.C. Road, Kolkata – 700009, India.

Abstract: In [1], fuzzy p^*-open set is introduced and studied. Using this concept as a basic tool, in this paper a new type of fuzzy compactness, viz., fuzzy almost p^*-compactness is introduced. Afterwards, this concept is characterized especially by fuzzy net and prefilterbase. In the last section, it is shown that fuzzy almost p^*-compact space is fuzzy almost compact [3] and the converse is true in fuzzy p^*-regular space [1]. Lastly it is proved that fuzzy almost p^*-compactness remains invariant under fuzzy almost p^*-continuous function [1].

Keywords: Fuzzy p^*-open cover, fuzzy regularly p^*-closed set, fuzzy almost p^*-compact set (space), p^*-adhere point of a prefilterbase, p^*-cluster point of a fuzzy net.

Pages: 76 – 88 | Full PDF Paper