\(\beta_1\)-paracompact spaces

Volume 9, Issue 4, pp 1728--1734 http://dx.doi.org/10.22436/jnsa.009.04.28

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Authors

Heyam Hussain Aljarrah - Department of Mathematics, Faculty of Science, Yarmouk University, Irbid, Jordan.

Abstract

We introduce the class of \(\beta_1\)-paracompact spaces in topological spaces and give characterizations of such spaces. We study subsets and subspaces of \(\beta_1\)-paracompact spaces and discuss their properties. Also, we investigate the invariants of \(\beta_1\)-paracompact spaces by functions.

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Keywords

• Paracompact
• \(\beta_1\)-paracompact
• \(\beta\)-open set
• locally finite collection.

MSC

•  54A05
•  54D20
•  54C10
•  54G05

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