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.

Keywords

• αrω-closed maps
• αrω*-closed maps and αrω-open maps
• αrω*-open maps
• αrω-homeomorphism
• αrωc-homeomorphism

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