Study of α*-Homeomorphisms by α*-closed Sets
K. Vithyasangaran *
Department of Mathematics, Faculty of Science, Eastern University, Sri Lanka.
P. Elango
Department of Mathematics, Faculty of Science, Eastern University, Sri Lanka.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we introduce a new kind of closed sets called α* -closed sets in a topological space and investigate their properties. These closed sets are compared with the closed sets and the generalized closed sets. We also introduce the α* -homeomorphisms and develop their properties by using the α* -closed maps and α* -continuous maps.
Keywords: g-closed set, g-continuous function, g-irresolute map, g-homeomorphism.