Abstract
A subset A of a topological space X is said to be β-open [1] if A ⊂ Cl (Int (Cl (A))). A function f : X → Y is said to be β-irresolute [4] if for every β-open set V of Y, f -1(V) is β-open in X. In this paper we introduce weak and strong forms of β-irresolute functions and obtain several basic properties of such functions.
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Noiri, T. Weak and strong forms of β-irresolute functions. Acta Mathematica Hungarica 99, 315–328 (2003). https://doi.org/10.1023/A:1024687630089
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DOI: https://doi.org/10.1023/A:1024687630089