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One point compactification of generalized topological spaces

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Abstract

The notions of a s-\(T_1\) space, an almost generalized Hausdorff space, and a \(\mu \)-locally compact space in the context of generalized topological spaces are introduced. Properties in relation to these spaces are established. Finally, a version of one point compactification of a s-\(T_1\) space is obtained.

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Acknowledgements

The authors thank the referee for his/her many valuable comments and suggestions towards the improvement of this paper.

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Authors and Affiliations

  1. Department of Mathematics, V. H. N. S. N. College (Autonomous), Virudhunagar, 626 001, India

    Ganesan Chinnaraman

  2. Department of Mathematics, Madurai Kamaraj University Constituent College, Sattur, 626 203, India

    Muruga Jothi Ramachandran

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  1. Ganesan Chinnaraman
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  2. Muruga Jothi Ramachandran
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Correspondence to Ganesan Chinnaraman.

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Chinnaraman, G., Ramachandran, M.J. One point compactification of generalized topological spaces. Afr. Mat. 30, 345–353 (2019). https://doi.org/10.1007/s13370-019-00652-9

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  • DOI: https://doi.org/10.1007/s13370-019-00652-9

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