Matematik ve Bilgisayar Bölümü / Department of Mathematics and Computer Science

Permanent URI for this collectionhttps://hdl.handle.net/11413/6787

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Browsing Matematik ve Bilgisayar Bölümü / Department of Mathematics and Computer Science by Publisher "American Institute of Physics Inc."

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    A New Topology Via a Topology
    (American Institute of Physics Inc., 2022) DAĞCI, FİKRİYE İNCE; Çakallı, Hüseyin
    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. © 2022 American Institute of Physics Inc.. All rights reserved.