Continuity via Î›sI-open sets

José Sanabria; Edumer Acosta; Carlos Carpintero; Ennis Rosas

doi:10.4067/S0719-06462015000100006

Authors

José Sanabria Departamento de Matemáticas, Núcleo de Sucre, Universidad de Oriente, Avenida Universidad, Cerro Colorado, Cumaná, Estado Sucre, Venezuela
Edumer Acosta Departamento de Matemáticas, Núcleo de Sucre, Universidad de Oriente, Avenida Universidad, Cerro Colorado, Cumaná, Estado Sucre, Venezuela
Carlos Carpintero Departamento de Matemáticas, Núcleo de Sucre, Universidad de Oriente, Avenida Universidad, Cerro Colorado, Cumaná, Estado Sucre, Venezuela
Ennis Rosas Departamento de Matemáticas, Núcleo de Sucre, Universidad de Oriente, Avenida Universidad, Cerro Colorado, Cumaná, Estado Sucre, Venezuela

DOI:

https://doi.org/10.4067/S0719-06462015000100006

Keywords:

Local function, Î›sI-open sets, Î›sI-irresolute functions

Abstract

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