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Some Results of - Semiconnectedness and Compactness in Bitopological Spaces

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  • M. Arunmaran
  • K. Kannan

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.

Suggested Citation

  • M. Arunmaran & K. Kannan, 2018. "Some Results of - Semiconnectedness and Compactness in Bitopological Spaces," Journal of Mathematics, Hindawi, vol. 2018, pages 1-4, May.
  • Handle: RePEc:hin:jjmath:7863713
    DOI: 10.1155/2018/7863713
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