A covering property with respect to generalized preopen sets

Ajoy Mukharjee

doi:10.5269/bspm.v38i6.36898

Ajoy Mukharjee St. Joseph's College Department of Mathematics

DOI: https://doi.org/10.5269/bspm.v38i6.36898

Keywords: $\mu$-preopen, $\mu$-compact, weakly $\mu$-compact, $\mu$-precompact

Abstract

In this paper, we introduce and study the notion of $\mu$-precompact spaces on the observation that each $\mu$-preopen set of a generalized topological space is contained in a $\mu$-open set. The $\mu$-precompactness is weaker than $\mu$-compactness but stronger than weakly $\mu$-compactness of generalized topological spaces.

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