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