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May 2020 Various Types of Supra Pre-compact and Supra Pre-Lindelöf Spaces
T. M. Al-Shami, B. A. Asaad, M. A. El-Gayar
Missouri J. Math. Sci. 32(1): 1-20 (May 2020). DOI: 10.35834/2020/3201001

Abstract

The purpose of this article is to introduce three types of supra compactness and three types of supra Lindelöfness via supra topological spaces based on the supra pre-open sets. With the help of examples, we illustrate the relationships among them and show their relationships with some kinds of supra compactness and supra Lindelöfness given in [3]. We characterize each type of space and investigate the image of them under pre-irresolute mappings. Also, we prove that these spaces are preserved under the finite product spaces, and give a sufficient condition for the equivalence among supra compact, almost supra compact and supra pre-compact spaces. At the end of each section, we provide some examples to demonstrate that the spaces studied and their counterparts, introduced in [9], are independent of each other.

Citation

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T. M. Al-Shami. B. A. Asaad. M. A. El-Gayar. "Various Types of Supra Pre-compact and Supra Pre-Lindelöf Spaces." Missouri J. Math. Sci. 32 (1) 1 - 20, May 2020. https://doi.org/10.35834/2020/3201001

Information

Published: May 2020
First available in Project Euclid: 2 July 2020

MathSciNet: MR4118646
Digital Object Identifier: 10.35834/2020/3201001

Subjects:
Primary: 54A05
Secondary: 54C08 , 54D20 , 54D30

Keywords: almost supra pre-compact space , mildly supra pre-compact space , supra pre-compact space , supra pre-open set

Rights: Copyright © 2020 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.32 • No. 1 • May 2020
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