Slightly (μ,λ) - continuous functions

By H. H. Aljarrah, M. Noorani, Takashi Noiri. 2001

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We define a function f : X → Y to be slightly β-continuous if for every clopen set V of Y , f −1(V ) ⊂ Cl(Int(Cl(f −1(V )))). We obtain several properties of such a function. Especially, we define the notion of ultra-regularizations of a topology and obtain interest- ing characterizations of slightly β-continuous functions by using it. 2000 Mathematics Subject Classification. 54C08.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Management Science and Operations Research

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