Properties of pre-I-open sets
Journal: DJ Journal of Engineering and Applied Mathematics (Vol.3, No. 1)Publication Date: 2017-01-29
Authors : R Sajuntha;
Page : 13-20
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;
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
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