A covering property with respect to generalized preopen sets

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 ...

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Bibliographic Details
Main Author: Ajoy Mukharjee
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2019-05-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/36898
Description
Summary: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.
ISSN:0037-8712
2175-1188