ON COMPACTNESS IN BI-GENERALIZED TOPOLOGICAL SPACES

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 85

Abstract

In this paper, we define compactness for all open sets defined in bi-generalized topological spaces such as: $\mu_{(m,n)}$-semi compactness, $\mu_{(m,n)}$-pre compactness, $\mu_{(m,n)}$-regular compactness, $\mu_{(m,n)}$-$\alpha$-compactness, $\mu_{(m,n)}$-$\beta$-compactness, $\overline{\mu}_{(m,n)}$-compactness and $(m,n)$-compactness. For our investigation, we choose $\mu_{(m,n)}$-semi compactness as a base space and studies the relationships between the $\mu_{(m,n)}$-semi compactness and other compactness in bi-generalized topological spaces.

Keywords and Phrases

Bi-generalized topological spaces, Open sets, Compactness.

A.M.S. subject classification

54A05, 54E55, 54D30.

.....

Download PDF 85 Click here to Subscribe now