New forms of -compactness with respect to hereditary classes

Abdo Mohammed Qahis

doi:10.5269/bspm.v37i1.34009

New forms of -compactness with respect to hereditary classes

Authors

Abdo Mohammed Qahis Nagran university Faculty of Science and Arts Department of Mathematics

DOI:

https://doi.org/10.5269/bspm.v37i1.34009

Keywords:

Generalized topology, hereditary class, uH-compact, u-compact, SuH-compact, S -SuH-compact

Abstract

A hereditary class on a set X is a nonempty collection of subsets closed under heredity. The aim of this paper is to introduce and study strong forms of u-compactness in generalized topological spaces with respect to a hereditary class, called SuH-compactness and S- SuH-compactness. Also several of their properties are presented. Finally some eects of various kinds of functions on them are studied.