On αrω-Homeomorphisms in Topological Spaces

Authors : Prabhavati S Prabhavati S Mandalageri, Revanasiddappa S Wali

Pages : 68-77

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Publication Date : 2018-02-27

Article Type : Research Paper

Abstract :A bijection f :insert ignore into journalissuearticles values( X, τ ); → insert ignore into journalissuearticles values( Y, σ ); is called αrω-homeomorphism if f and f − 1 are αrω-continuous. Also we introduce new class of maps, namely αrω c -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 αrω c -homeomorphisms forms a group under the operation composition of maps.
Keywords : αrω closed maps, αrω closed maps and αrω open maps, αrω open maps, αrω homeomorphism, αrωc homeomorphism