Abstract

SANABRIA, José; ACOSTA, Edumer; ROSAS, Ennis  and  CARPINTERO, Carlos. Continuity via -open sets. Cubo [online]. 2015, vol.17, n.1, pp.75-84. ISSN 0719-0646.  http://dx.doi.org/10.4067/S0719-06462015000100006.

Sanabria, Rosas and Carpintero [7] introduced the notions of -sets and -closed sets using ideals on topological spaces. Given an ideal I on a topological space ( X , ), a subsetA ⊂ X is said to be -closed if A = U ∩ F where U is a -set and F is a *-closed set. In this work we use sets that are complements of -closed sets, which are called -open, to characterize new variants of continuity namely -continuous, quasi- -continuous y -irresolute functions.

Keywords : Local function; -open sets; -irresolute functions.

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