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Article . 2024
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Article . 2024 . Peer-reviewed
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Compatible structure in ideal Cech closure spaces

Compatible structure in ideal Čech closure spaces
Authors: AHMAD AL-OMARI;

Compatible structure in ideal Cech closure spaces

Abstract

In Al-Omari et al., Touch points in ideal Cech closure spaces, Mathematica, 64 (2022), (C, f, I) is a Cech closure space with an ideal I. For a subset H of C, there is introducet the set of Cech touch points of H with respect to f and I. Several characterizations of these sets will be discussed in this paper. Moreover, we investigate the notion of f-compatibility with an ideal I and obtain several characterizations of this type of compatibility.

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Keywords

Topological spaces and generalizations (closure spaces, etc.), \(\tilde{f}\)-operator, ideal Čech closure space, Čech closure operator, \(f\)-compatible

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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!
0
Average
Average
Average
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