A New Class of Regular Weakly Closed Sets and Functions Using Grills

A. Vadivel; P. Revathi

doi:https://doi.org/10.14445/22315373/IJMTT-V5P531

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 5 | Number 2 | Year 2014 | Article Id. IJMTT-V5P531 | DOI : https://doi.org/10.14445/22315373/IJMTT-V5P531

A New Class of Regular Weakly Closed Sets and Functions Using Grills

A. Vadivel , P. Revathi

Citation :

A. Vadivel , P. Revathi, "A New Class of Regular Weakly Closed Sets and Functions Using Grills," International Journal of Mathematics Trends and Technology (IJMTT), vol. 5, no. 2, pp. 226-237, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V5P531

Abstract

The purpose of this paper is to introduce and study a new class of regular weakly closed sets and functions in a topological space X , de ned in terms of a grill G on X . Explicit characterization of such sets along with certain other properties of them are obtained. As applications, some characterizations of regular and normal spaces are achieved by use of the introduced class of sets.

Keywords

Grill, rw-closed, topology G , operator , G-rw-closed sets, G-rw-continuity, G-rw-regular, G-rw-normal.

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