Miguel Caldas Cueva

Abstract
The aim of this paper is to continue the study of generalized homeomorphisms, for itwe define the concept of three new classes of maps namely generalized $\Lambda_s$-open , generalized $\Lambda_{s}^{c}$-homeomorphisms and $\Lambda_{s}^{I}$-homeomorphisms by using g.$\Lambda_s$-sets, which are generalizations of semi-open maps and generalizations of homeomorphisms and we investigate some properties of their maps from the quotient space to other spaces.