On αrω-Homeomorphisms in Topological Spaces

Year 2018, Issue: 21, 68 - 77, 27.02.2018

Prabhavati S. Prabhavati S. Mandalageri Revanasiddappa S. Wali

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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