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JEAM.,   Volume(3) - Issue(1), 2017
pp 13-20,   http://dx.doi.org/10.18831/djmaths.org/2017011002

Properties of pre-I-open sets *

R Sajuntha;

Abstract

In 1982, [5] have defined the notion of preopen sets. Ouite recently in 2002, [6] has defined pre neighbourhoods, pre-interior point, prelimit point, prederived set and prefrontier of set. For these sets we define the notion of pre-I-interior point, pre-I-limit point, and pre-I-frontier of a set using pre-I-open sets and pre-I-closed sets in ideal topological space. We also obtained a necessary and sufficient condition for an ideal topological space to be a pre-I-T1 space.

Keywords

Ideal spaces, Pre-I-open sets, Pre-I-closed sets, Pre-I-T1 space, Pre-I-interior point, Pre-I-frontier of a set.

Received
10/11/2016
, Accepted
20/01/2017
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