On generalized closed sets in generalized topological spaces

B. K. Tyagi; Harsh V. S. Chauhan

doi:10.4067/S0719-06462016000100003

On generalized closed sets in generalized topological spaces

Authors

B. K. Tyagi Department of Mathematics, Atmaram Sanatan Dharma College, University of Delhi, New Delhi-110021, India.
Harsh V. S. Chauhan Department of Mathematics, University of Delhi, New Delhi-110007, India

DOI:

https://doi.org/10.4067/S0719-06462016000100003

Keywords:

Generalized topological spaces, generalized closed sets, extremally Î¼-disconnectedness, Separation axioms

Abstract

In this paper, we introduce several types of generalized closed sets in generalized topological spaces (GTSs). Their interrelationships are investigated and several characterizations of Î¼-T₀, Î¼-T₁, Î¼-T_1/2, Î¼-regular, Î¼-normal GTSs and extremally Î¼-disconnected GTSs are obtained.