g* λµ- closed sets in Generalized Topological Spaces

Author:

Jeyanthi P.1,Nalayini P.1ORCID,Mocana Marcelina2

Affiliation:

1. Govindammal Aditanar College for Women

2. V. Alecsadri University of Bacau

Abstract

In this paper we introduce some new classes of generalized closed sets called *λµ -g-closed, *λµ -g µ -closed and g* λµ -closed sets in generalized topological spaces, which are related to the classes of gµ -closed sets, g-λµ -closed sets and λµ -g-closed sets. We investigate the properties of the newly introduced classes, as well as the connections among the above mentioned classes of generalized closed sets. Also, we give a unified framework for the study of several types of generalized closed sets in a space endowed with two generalized topologies.

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

Reference12 articles.

1. 1. . Bishwarbhar Roy and Erdal Ekici, On (^, µ)- closed sets in Generalized topological spaces, Methods of Functional Analysis and Topology.,17(2)(2011), 174-179.

2. 2. . A.Csaszar, Generalized open sets, Acta Math.Hungar., 75(1-2) (1997), 65-87.

3. 3. . A.Csaszar, Further remark on the formula for

4. -interior, Acta Math.Hungar., 113(4):(2006), 325-332.

5. 4. . A.Csaszar, Generalized open sets in generalized topologies, Acta Math.Hungar., 2005, 106(53-66).

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