Dagci, F.I.Çakallı, Hüseyin2024-07-122024-07-1220229.78074E+120094-243X10.1063/5.01155432-s2.0-85142515407https://doi.org/10.1063/5.0115543https://hdl.handle.net/20.500.12415/74595th International Conference of Mathematical Sciences, ICMS 2021 -- 23 June 2021 through 27 June 2021 -- -- 184127In 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, ?) forms a topology which is finer than ?, where a subset A of a topological space (X, ?) is said to be h-open if A ? Int(A ? U) for every non-empty subset U of X such that U ? ?. We also give continuity type theorems. © 2022 American Institute of Physics Inc.. All rights reserved.eninfo:eu-repo/semantics/openAccessContinuityOpen SetTopological SpaceConference ObjectN/A2483