The Journal of the Indian Mathematical Society

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A Characterization of Minimally Bicompact Spaces


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1 Ramanujan Institute of Mathematics, Madras, India
     

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In this paper a necessary and sufficient condition for a space to be minimally bicompact is established. Also the question of the existence of a minimally bicompact topology weaker than a given bicompact topology is considered, and it is shown that the set Pt of points at which a (bicompact) topology t is minimally bicompact can be increased (by weakening it) by any scattered set.
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  • A Characterization of Minimally Bicompact Spaces

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Authors

K. Padmavally
Ramanujan Institute of Mathematics, Madras, India

Abstract


In this paper a necessary and sufficient condition for a space to be minimally bicompact is established. Also the question of the existence of a minimally bicompact topology weaker than a given bicompact topology is considered, and it is shown that the set Pt of points at which a (bicompact) topology t is minimally bicompact can be increased (by weakening it) by any scattered set.