On αrω-Homeomorphisms in Topological Spaces

Abstract

A bijection f:(X, τ)→(Y, σ) is called αrω-homeomorphism if f and f−1 are αrω-continuous. Also we introduce new class of maps, namely αrωc-homeomorphisms which form a subclass of αrω-homeomorphisms. This class of maps is closed under composition of maps. We prove that the set of all αrωc-homeomorphisms forms a group under the operation composition of maps.