On some forms of e*-irresoluteness

Subject Areas : General topology

M. Ozkoc ¹ , K. Sarıkaya Atasever ²

1 - Department of Mathematics, Faculty of Science, Mugla Sitki Kocman University 48000 Mentese-Mugla, Turkey
2 - Department of Mathematics, Faculty of Science, Mugla Sitki Kocman University 48000 Mentese-Mugla, Turkey

Received: 2018-07-12 Accepted : 2018-10-15 Published : 2019-02-01

Keywords: $e^*$-open, weakly $e^*$-irresolute, strongly $e^*$-irresolute, strongly $e^*$-regular space, $e^*$-$theta$-open,

Abstract :

‎The main goal of this paper is to introduce and study two new class of functions‎, ‎called weakly $e^*$-irresolute functions and strongly $e^*$-irresolute functions‎, ‎via the notion of $e^*$-open set defined by Ekici [7]. ‎We obtain several fundamental properties and characterizations of these functions‎. ‎Moreover‎, ‎we investigate not only some of their basic properties but also their relationships with other types of already existing topological functions‎.

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