On subsets of ideal topological spaces

V. Renukadevi

doi:10.4067/S0719-06462010000200004

Authors

V. Renukadevi Department of Mathematics, ANJA College, Sivakasi-626 124, Tamil Nadu, India.

DOI:

https://doi.org/10.4067/S0719-06462010000200004

Keywords:

â‹†âˆ’extremally disconnected spaces, tâˆ’Iâˆ’set, Î±âˆ’Iâˆ’open set, preâˆ’Iâˆ’open set, semiâˆ’Iâˆ’open set, semiâ‹† âˆ’ Iâˆ’open, semipreâ‹† âˆ’ Iâˆ’open, CIâˆ’set, BIâˆ’set, B1Iâˆ’set, B2Iâˆ’set, B3Iâˆ’set, Î´ âˆ’ Iâˆ’open, RIâˆ’open, Iâˆ’locally closed set, weakly Iâˆ’locally closed set, AIRâˆ’set, DIâˆ’set

Abstract

We define some new collection of sets in ideal topological spaces and characterize them in terms of sets already defined. Also, we give a decomposition theorem for Î± âˆ’ Iâˆ’open sets and open sets. At the end, we discuss the property of some collection of subsets in â‹†âˆ’extremally disconnected spaces.