Some results on maximal open sets

Authors

1 Department of Mathematics, Faculty of Sciences, Golestan University,, P.O.Box. 155, Gorgan, Iran.

2 Young Researchers Club, Sari Branch, Islamic Azad University, Sari, Iran.

3 Islamic Azad University-Babol Branch, Babol, Iran.

Abstract

In this paper, the notion of maximal m-open set is introduced and its
properties are investigated. Some results about existence of maximal m-open sets
are given. Moreover, the relations between maximal m-open sets in an m-space
and maximal open sets in the corresponding generated topology are considered.
Our results are supported by examples and counterexamples.

Keywords

International Journal of Nonlinear Analysis and Applications
Volume 3, Issue 2 - Serial Number 2
Winter and Spring 2012
Pages 59-66

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