Separation axioms of αm-contra-open maps and b-ω-open sets in generalized topological spaces

Ghanmi, Boulbaba; Messaoud, Rim; Missaoui, Amira

doi:10.22199/issn.0717-6279-3935

Proyecciones (Antofagasta)

2021

DOI: 10.22199/issn.0717-6279-3935

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Separation axioms of αm-contra-open maps and b-ω-open sets in generalized topological spaces

Boulbaba Ghanmi

Rim Messaoud

Amira Missaoui

Abstract: In this paper, we introduce Tαm-Super-Spaces, αm-contra-closed maps, αm-contra-open maps, αm-contra-continuous maps, αm-contrairresolute maps, b-ω-open sets and Continuity via b-ω-open sets and studied some of their properties

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2021

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Decomposition, Mapping, and Sum Theorems of ω-Paracompact Topological Spaces

Ghour

2021

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As a weaker form of ω-paracompactness, the notion of σ-ω-paracompactness is introduced. Furthermore, as a weaker form of σ-ω-paracompactness, the notion of feebly ω-paracompactness is introduced. It is proven hereinthat locally countable topological spaces are feebly ω-paracompact. Furthermore, it is proven hereinthat countably ω-paracompact σ-ω-paracompact topological spaces are ω-paracompact. Furthermore, it is proven hereinthat σ-ω-paracompactness is inverse invariant under perfect mappings with countable fibers, and as a result, is proven hereinthat ω-paracompactness is inverse invariant under perfect mappings with countable fibers. Furthermore, if A is a locally finite closed covering of a topological space X,τ with each A∈A being ω-paracompact and normal, then X,τ is ω-paracompact and normal, and as a corollary, a sum theorem for ω-paracompact normal topological spaces follows. Moreover, three open questions are raised.

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Decomposition, Mapping, and Sum Theorems of ω-Paracompact Topological Spaces

Ghour

2021

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Separation axioms of αm-contra-open maps and b-ω-open sets in generalized topological spaces

Abstract: In this paper, we introduce Tαm-Super-Spaces, αm-contra-closed maps, αm-contra-open maps, αm-contra-continuous maps, αm-contrairresolute maps, b-ω-open sets and Continuity via b-ω-open sets and studied some of their properties

Cited by 1 publication

References 12 publications

Decomposition, Mapping, and Sum Theorems of ω-Paracompact Topological Spaces

Decomposition, Mapping, and Sum Theorems of ω-Paracompact Topological Spaces

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