Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2020
  • Volume: 39e
  • Issue: 2

Pre-open and pre-closed sets in a topological space*

1. Department of Mathematics, Government Women’s Ploytechnic, Patna, India.

2. Department of Mathematics, Patna University, Patna, India.

†Corresponding author Reema Bahan, E-mail: reemabahan1973@gmail.com

2. E-mail: ashutoshvinayak1967@gmail.com

Abstract

In this paper we use the notion of pre-open sets and pre-closed sets in topological space to prove the Cantor’s intersection theorem for pre-closed sets.

Keywords

Pre-closed set, Pre-open set, Cantor’s intersection theorem, Topological space