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Selection Principles and Weaker Forms of Menger, Rothberger and Hurewicz Properties in Topology

Thesis Info

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Author

Sabah, Amani

Program

PhD

Institute

COMSATS University Islamabad

City

Islamabad

Province

Islamabad.

Country

Pakistan

Thesis Completing Year

2019

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/10626/1/Amani%20Sabah_Maths_2019_Comsats_PRR.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676727157414

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In this research work, our focus is to study certain covering properties in topological spaces by using semiopen covers and in bitopological spaces by using pairwise open covers and their generalizations. This work deals with Menger type, Rothberger type and Hurewicz type covering properties. The notions of semiMenger (semiRothberger), almost semiMenger (almost semiRothberger), star semiMenger (star semiRothberger), almost star semiMenger (almost star semiRothberger) and strongly star semiMenger (strongly star semiRothberger) are defined and corresponding covering properties are investigated. Furthermore, the concepts of semiHurewicz, almost semiHurewicz and star semiHurewicz spaces are introduced and their properties are studied. Relations between the newly defined notions and classical selection principles are established. Similarities and differences among each other are discussed. We have also studied the prototypes of some selection principles using p-open covers in bitopological spaces.
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