A new topology via a topology

In this extended abstract, we modify the definition of h-open set introduced in [1] by F. Abbas who neglects that the set of all h-open sets is a topology, and we show that the union of any family of h-open subsets of X is h-open that ensures that the set of all h-open subsets of a topological space...

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Bibliographic Details
Main Authors: Dagci, Fikriye Ince, Cakalli, Huseyin
Format: Conference Proceeding
Language:English
Subjects:
Topology
Online Access:Get full text
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Summary:In this extended abstract, we modify the definition of h-open set introduced in [1] by F. Abbas who neglects that the set of all h-open sets is a topology, and we show that the union of any family of h-open subsets of X is h-open that ensures that the set of all h-open subsets of a topological space (X, τ) forms a topology which is finer than τ, where a subset A of a topological space (X, τ) is said to be h-open if A ⊆ Int(A∪U) for every non-empty subset U of X such that U∈τ. We also give continuity type theorems.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0115543