A new type of generalized closed sets via hereditary classes

Document Type : Research Articles

Authors

1 Department of Mathematics, Payame Noor University, P.O. Box, 19395-4697, Tehran, Iran

2 Department of Mathematics and Computer Sciences, Sirjan Universityof Technology, Sirjan, Iran.

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.

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