HQ-normal Spaces in General Topology

In this paper, we introduced the notion of HQ-normal space which is a simultaneous generalization of quasi normal and meekly pi-normal spaces and properties of HQ-normal spaces are investigated. Further we obtained some characterizations and properties of HQ-normal spaces with other normal and regular spaces and several decomposition of normality are obtained. We studied the behavior of HQ-normality with respect to continuous functions.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-02-14
DOI
https://doi.org/10.5281/zenodo.14872764
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

HQ-normal Spaces in General Topology

Zenodo (CERN European Organization for Nuclear Research)
Fuzzy and Soft Set Theory
article

HQ-normal Spaces in General Topology

article en

Abstract

In this paper, we introduced the notion of HQ-normal space which is a simultaneous generalization of quasi normal and meekly pi-normal spaces and properties of HQ-normal spaces are investigated. Further we obtained some characterizations and properties of HQ-normal spaces with other normal and regular spaces and several decomposition of normality are obtained. We studied the behavior of HQ-normality with respect to continuous functions.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 43%
Fuzzy and Soft Set Theory
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HQ-normal Spaces in General Topology · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS