[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2015.30.3.277

ON MAXIMAL, MINIMAL OPEN AND CLOSED SETS

MUKHARJEE, AJOY (Department of Mathematics St. Joseph's College)

Publication Information

Communications of the Korean Mathematical Society / v.30, no.3, 2015 , pp. 277-282 More about this Journal

Abstract

We obtain some conditions for disconnectedness of a topological space in terms of maximal and minimal open sets, and some similar results in terms of maximal and minimal closed sets along with interrelations between them. In particular, we show that if a space has a set which is both maximal and minimal open, then either this set is the only nontrivial open set in the space or the space is disconnected. We also obtain a result concerning a minimal open set on a subspace.

Keywords

maximal open set; minimal open set; maximal closed set; minimal closed set; disconnected;

Citations & Related Records

Reference

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