Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2017; 32(1): 175-181

Online first article January 11, 2017      Printed January 31, 2017

https://doi.org/10.4134/CKMS.c150241

Copyright © The Korean Mathematical Society.

More on maximal, minimal open and closed sets

Ajoy Mukharjee

Darjeeling

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In this paper, we introduce a notion of cleanly covered topological spaces along with two strong separation axioms. Some properties of cleanly covered topological spaces are obtained in term of maximal open sets including some similar properties of a topological space in term of maximal closed sets. Two strong separation axioms are also investigated in terms of minimal open and maximal closed sets.

Keywords: maximal open set, minimal open set, maximal closed set, minimal closed set, compact

MSC numbers: Primary 54A05; Secondary 54D05, 54D10, 54D15

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