Mininal S_beta-open sets and Maximal S_beta-closed sets in topological spaces

Ardoon Jongrak

Abstract


In this work, new classes of sets called minimal $S_{\beta}$ -open set and maximal $S_{\beta}$ -closed set in topological spaces which were subclasses of

$S_{\beta}$ -open and $S_{\beta}$ -closed sets respectively are introduced. We proved that the complement of minimal $S_{\beta}$ -open set was maximal $S_{\beta}$ -closed set. Some properties of the new concept of both sets were studied.


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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|