Missouri Journal of Mathematical Sciences
- Missouri J. Math. Sci.
- Volume 18, Issue 1 (2006), 64-77.
Some Generalizations of Paracompactness
In this paper we introduce the concepts of $\omega$-paracompactness and countable $\omega$-paracompactness as generalizations of paracompactness. We characterize each of them. The study deals with subspaces, products and mappings of each. We conclude this paper with various counterexamples relevant to the relations among the concepts of this paper.
Missouri J. Math. Sci., Volume 18, Issue 1 (2006), 64-77.
First available in Project Euclid: 3 August 2019
Permanent link to this document
Digital Object Identifier
Zentralblatt MATH identifier
Primary: 54D20: Noncompact covering properties (paracompact, Lindelöf, etc.)
Al Ghour, Samer Hamed. Some Generalizations of Paracompactness. Missouri J. Math. Sci. 18 (2006), no. 1, 64--77. doi:10.35834/2006/1801064. https://projecteuclid.org/euclid.mjms/1564797641