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387202

On minimal sets and strictly weaker topologies

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Last updated: 29 Dec 2024

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Abstract

In [1,2] Farrag characterized the stirictly weaker principal topologies than any given principal topology on a nonempty set by using the minimal open sets which are defined by Steiner [3]. This paper mainly generalizes this result by using the minimal sets, which are defined in the paper with respect to the given topology s on a nonempty set.

DOI

10.1016/j.joems.2011.10.004

Authors

First Name

N.

Last Name

Abdel-All

MiddleName

H.

Affiliation

Math. Dept., Faculty of Science, Assiut University, Assiut 71516, Egypt , Math. Dept., College of Science and Arts in Unaizah, Qassim University, Qassim 10363, Saudi Arabia

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Volume

19

Article Issue

3

Related Issue

50533

Issue Date

2011-09-01

Receive Date

2024-10-20

Publish Date

2011-09-01

Page Start

112

Page End

117

Print ISSN

1110-256X

Online ISSN

2090-9128

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https://joems.journals.ekb.eg/article_387202.html

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https://joems.journals.ekb.eg/service?article_code=387202

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387,202

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Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

On minimal sets and strictly weaker topologies

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Article

Created At

21 Dec 2024