Continuity via ΛsI-open sets
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José Sanabria
jesanabri@gmail.com
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Edumer Acosta
edumeracostab@gmail.com
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Carlos Carpintero
carpintero.carlos@gmail.com
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Ennis Rosas
ennisrafael@gmail.com
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DOI:
https://doi.org/10.4067/S0719-06462015000100006Abstract
Sanabria, Rosas and Carpintero [7] introduced the notions of ΛsI-sets and ΛsI-closed sets using ideals on topological spaces. Given an ideal I on a topological space (X, τ), a subset A ⊂ X is said to be ΛsI-closed if A = U∩F where U is a ΛsI-set and F is a τ*-closed set. In this work we use sets that are complements of ΛsI-closed sets, which are called ΛsI-open, to characterize new variants of continuity namely ΛsI-continuous, quasi- ΛsI-continuous y ΛsI-irresolute functions.
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