On γ−countably paracompact sets

Amani Rawshdeh; Heyam H. Al-Jarrah; Khalid Y. Al-Zoubi; Wasfi A. Shatanawi

doi:10.2478/ausm-2020-0027

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On γ−countably paracompact sets

Acta Universitatis Sapientiae, Mathematica

Volume 12 (2020): Issue 2 (November 2020)

By: Amani Rawshdeh, Heyam H. Al-Jarrah, Khalid Y. Al-Zoubi and Wasfi A. Shatanawi

Open Access

|Dec 2020

Abstract

In this paper we introduce and study a new class of sets, namely γ−countably paracompact sets. We characterize γ−countably paracompact sets and we study some of its basic properties. We obtain that this class of sets is weaker than α−countably paracompact sets and stronger than β−countably paracompact sets.

References

[1] K. Y. Al-Zoubi, On γ−Paracompact Sets, Questions and Answers in General Topology, 34 (2016), 93–100.
Search in Google Scholar Back to article
[2] C. E. Aull, A certain class of topological spaces, Prace Matematyczne, 11 (1967), 49–53.
Search in Google Scholar Back to article
[3] C. E. Aull, Paracompact subsets, Proc. of the Second Prague Topological Symposium, Prague (1966), 45–51.10.1016/B978-1-4831-9850-7.50017-5
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[4] R. Engelking, General topology, Polish scientific publishers, Warzawa and New York, 1989.
Search in Google Scholar Back to article
[5] N. Levine, Generalized closed sets in topology, Rend. Circ. Mat. Palermo, 19 (2) (1970), 89–96.10.1007/BF02843888
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Articles in this issue

DOI: https://doi.org/10.2478/ausm-2020-0027 | Journal eISSN: 2066-7752

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Language: English

Page range: 383 - 394

Submitted on: Feb 19, 2020

Published online: Dec 2, 2020

Published in print: Nov 1, 2020

Published by: Sapientia Hungarian University of Transylvania

In partnership with: Paradigm Publishing Services

Keywords:

countably paracompact,

α−countably paracompact,

β−countably paracompact,

γ−countably paracompact

MSC:

54A05,

54C08,

54D10

Related subjects:

Mathematics,

General mathematics

© 2020 Amani Rawshdeh, Heyam H. Al-Jarrah, Khalid Y. Al-Zoubi, Wasfi A. Shatanawi, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 12 (2020): Issue 2 (November 2020)