A new type of generalized closed sets via hereditary classes

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 T۱ topological spaces.

کلیدواژه ها:

Hereditary class ، Generalized closed set ، Hg-closed set