A Characterization of Maximal-Hausdorff Spaces

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Authors

  • Pachaiyappa's College, Madras ,IN

DOI:

https://doi.org/10.18311/jims/1947/17107

Abstract

In my paper on Maximal-Hausdorff spaces. I have proved the existence of non-bicompact maximal-Hausdorff spaces. The purpose of the present paper is to give a final and more satisfactory characterization of maximal-Hausdorff spaces by proving that the Maximal-Hausdorff spaces are identical with the H-closed semi-regular spaces. A part of this result has already been proved [see Paper I Theorems III and IV]. The known result that the Hausdorff bicompact spaces are maximal-Hausdorff is a special case of this result, since the Hausdorff bicompact spaces are H-closed semi-regular spaces.