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Article . 2022
License: CC BY NC
Data sources: Datacite
ZENODO
Article . 2022
License: CC BY NC
Data sources: Datacite
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Existence of New Sets in an Ideal Topological Spaces

Authors: Mahmud Musa; B. I. Mshelia; N. H. Manjak; Ali Musa;

Existence of New Sets in an Ideal Topological Spaces

Abstract

An ideal topological space is a triplet (饾憢, 饾湉, I), where 饾憢 is a nonempty set, 饾湉 is a topology on 饾憢, and I is an ideal of subsets of 饾憢. In this article, we introduce 饾惪*-perfect, 饾憛*-perfect, and 饾惗*-perfect sets in ideal spaces and study their properties. We obtained a characterization for compatible ideals via L*-perfect sets. Also, we obtain a generalized topology via ideals which is finer than 饾湉 using L*-perfect sets on a finite set.

Keywords

饾憛*-perfect sets, and 饾惗*-perfect sets., 饾惪*-perfect sets

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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