strong and weak form of μ-Kc-space

Abstract

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