g* λµ- closed sets ingeneralized topological spaces

• Main Authors: P. Jeyanthi, P. Nalayini, Marcelina Mocana
• Format: Article
• Language: English
• Published: Sociedade Brasileira de Matemática 2016-04-01
• Series: Boletim da Sociedade Paranaense de Matemática
• Subjects: Generalized topology; λµ closed; *λµ- closed; *λµ -g-closed; *λµ -gµ - closed; g*λµ- closed sets
• Online Access: http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/25102

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.