Certain Strong and Weak Types of Paracompact Maps

Saad Mahdi Jaber; Hiyam Hassan Kadhem

doi:10.24996/ijs.2024.65.2.17

Authors

Saad Mahdi Jaber Department of Mathematics, Faculty of Education for Pure Science, University of Babylon, Babel, Iraq
Hiyam Hassan Kadhem Department of Computer Science, Faculty of Education, University of Kufa, Najaf, Iraq https://orcid.org/0000-0001-8374-6366

DOI:

https://doi.org/10.24996/ijs.2024.65.2.17

Keywords:

Paracompact map, Compact map, Metacompact map, countably paracompact map, Pa-closed space, countably metacompact map, S-paracompact map

Abstract

In this work, the concept of the paracompact map has been generalized to other new types of maps, in addition to the fact that the paracompact map has been linked to these new maps. Accordingly, we will separate these new types of maps into two classes, the first class is called a strong form which implies a paracompact map under certain conditions. While the other class is called a weaker form of a paracompact map, whereas the paracompact map implies them. Finally, the composition operations of paracompact maps are studied.