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Research Article

Year : 2017 | Volume: 3 | Issue: 1 | Pages: 13-20

Properties of pre-I-open sets *

R Sajuntha1*, 2

DOI: 10.18831/djmaths.org/2017011002

Corresponding author

R Sajuntha*

Department of Mathematics, Ponjesly College of Engineering, Nagercoil- 629 003, Tamil Nadu, India.

  • 1. Department of Mathematics, Ponjesly College of Engineering, Nagercoil- 629 003, Tamil Nadu, India.

Received on: 2016/11/10

Revised on: 2016/12/25

Accepted on: 2017/01/20

Published on: 2017/01/31

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.