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Some Results of - Semiconnectedness and Compactness in Bitopological Spaces

M. Arunmaran and K. Kannan

Journal of Mathematics, 2018, vol. 2018, 1-4

Abstract:

We are going to establish some results of - semiconnectedness and compactness in a bitopological space. Besides, we will investigate several results in - semiconnectedness for subsets in bitopological spaces. In particular, we will discuss the relationship related to semiconnectedness between the topological spaces and bitopological space. That is, if a bitopological space is - semiconnected, then the topological spaces and are -semiconnected. In addition, we introduce the result which states that a bitopological space is - semiconnected if and only if and are the only subsets of which are - semiclopen sets. Moreover, we have proved some results in compactness also. Altogether, several results of - semiconnectedness and compactness in a bitopological space have been discussed.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7863713

DOI: 10.1155/2018/7863713

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