Weakly m-compact via a hereditary class

Qahis, Abdo; Al-jarrah, Heyam H.; Noiri, Takashi

doi:10.5269/bspm.40594

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2022

2024

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Cited by 3 publications

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“…The concept of I-compactness was introduced in [9], while the notion of γcompact spaces was studied in [2]. Recently, Carpintero et al [1] introduced the concept of µ-compactness with respect to a hereditary class H. The notion of weakly µH-compact spaces was studied in [11,12].…”

Section: Introductionmentioning

confidence: 99%

_γµ ℋ-compactness in GTS

Noiri¹,

Roy²

2022

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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Using the notion of operations on a generalized topological space (X, µ) and a hereditary class we have introduced the notion of γµ -compactness modulo a hereditary class ℋ termed as γµ ℋ -compactness. We have studied γµ ℋ-compact spaces and γµ ℋ-compact sets relative to µ.

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Section: Introductionmentioning

confidence: 99%

_γµ ℋ-compactness in GTS

Noiri¹,

Roy²

2022

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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Weakly and Nearly Countably Compactness in Generalized Topology

Altawallbeh

Badarneh

Jawarneh

et al. 2023

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We define the notions of weakly μ-countably compactness and nearly μ-countably compactness denoted by Wμ-CC and Nμ-CC as generalizations of μ-compact spaces in the sense of Csaśzaŕ generalized topological spaces. To obtain a more general setting, we define Wμ-CC and Nμ-CC via hereditary classes. Using μθ-open sets, μ-regular open sets, and μ-regular spaces, many results and characterizations have been presented. Moreover, we use the properties of functions to investigate the effects of some types of continuities on Wμ-CC and Nμ-CC. Finally, we define soft Wμ-CC and Nμ-CC as generalizations of soft μ-compactness in soft generalized topological spaces.

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