Strong and Weak Forms of Î¼-Kc-Spaces

Nadia A.  Nadhim; Haider J.  Ali; Rasha N.  Majeed

doi:10.24996/ijs.2020.61.5.16

Authors

Nadia A. Nadhim Department of Mathematics, Faculty of Education for Pure Sciences, University of AL-Anbar, AL-Anbar, Iraq
Haider J. Ali Department of Mathematics, College of Science, University of AL-Mustansiriyah, Baghdad, Iraq
Rasha N. Majeed Department of Mathematics, Faculty of Education for pure sciences Abn AL-Haitham, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2020.61.5.16

Keywords:

K c-space, minimal structure spaces

Abstract

In this paper, we provide some types of - -spaces, namely, - ( )- (respectively, - ( )- , - ( )- and - ( )-) spaces for minimal structure spaces which are denoted by ( -spaces). Some properties and examples are given.
The relationships between a number of types of - -spaces and the other existing types of weaker and stronger forms of -spaces are investigated. Finally, new types of open (respectively, closed) functions of -spaces are introduced and some of their properties are studied.