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

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 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