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On a Characterization of Minimally Bicompact Spaces: Corrections and Additions


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1 Ramanujan Institute of Mathematics (Karaikudi), Madras, India
     

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Theorem 1 of [2] states that the condition for every closed set A and any limit point p of A, there exists a subset Z of A not containing p but of which p is the sole complete limit point is necessary and sufficient for the space to be minimally bicompact. The proof ([2] page 2) of the sufficiency of this condition assumes that the closure of the set S under the new topology is A -p where A is its closure under the given topology and p some limit point of S (not belonging to S).
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  • On a Characterization of Minimally Bicompact Spaces: Corrections and Additions

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Authors

K. Padmavally
Ramanujan Institute of Mathematics (Karaikudi), Madras, India

Abstract


Theorem 1 of [2] states that the condition for every closed set A and any limit point p of A, there exists a subset Z of A not containing p but of which p is the sole complete limit point is necessary and sufficient for the space to be minimally bicompact. The proof ([2] page 2) of the sufficiency of this condition assumes that the closure of the set S under the new topology is A -p where A is its closure under the given topology and p some limit point of S (not belonging to S).