ON COMPACTNESS IN BI-GENERALIZED TOPOLOGICAL SPACES
Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 146
DOI: https://doi.org/10.56827/JRSMMS.2023.1002.16
Author :
R. Rishanthini (Department of Mathematics, Faculty of Science, Eastern University, SRI LANKA)
P. Elango (Department of Mathematics, Faculty of Science, Eastern University, SRI LANKA)
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.
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