A new type of generalized closed sets via hereditary classes

Author(s):

Amin Talabeigi * , Ghasem Mirhosseinkhani

Message:
Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:
A hereditary class H on a set X is a nonempty collection of subsets of X which is closed under taking subsets. In this paper, we introduce a new class of generalized closed sets in topological spaces called Hg-closed by using hereditary classes. We investigate the relationship of this type of closed sets with other types of closed sets of topological spaces and of generalized topological space. In addition, we obtain some characterizati- ons of this class in T1 topological spaces.
Keywords:

Hereditary Class , Generalized Closed Set , Hg-Closed Set

Language:
English
Published:
Caspian Journal of Mathematical Sciences, Volume:14 Issue: 1, Winter Spring 2025
Pages:
143 to 155
https://www.magiran.com/p2871452