Bulletin of Pure & Applied Sciences- Mathematics and Statistics

  • Year: 2021
  • Volume: 40e
  • Issue: 1

On generalized star ωαI-closed sets in ideal topological spaces*

1Department of Mathematics, Sri G.V.G. Visalakshi College for Women (Autonomous), Palani Road, Udumalpet, Tamil Nadu-642128, India

2Research Scholar, Department of Mathematics, Sri G.V.G. Visalakshi College for Women (Autonomous), Palani Road, Udumalpet, Tamil Nadu-642128, India

†Corresponding author V. Pankajam, E-mail: pankajamgurusamy@gmail.com

** E-mail: gowrisivakumar95@gmail.com

Abstract

In this paper, we introduce a new class of sets named as generalized star ωαI-closed sets in ideal topological spaces and study some of their properties. Further we also define and study the concept of ωαI-open sets in ideal topological spaces and discuss their properties.

Keywords

ω-closed sets, ωαI-closed sets, ωαI-open sets