On Compactification of an Orbit Space of Finite Group Action
Abstract
In this work, we studies another construction to the-compactification (Stone-Cech) of a Tychnoff space X which helps us to extend the action on X toX and we prove that:The Stone-Cech (resp., one point) compactification of the orbit space byG , whereG is a finite discrete group of productGXis the orbit of the Stone-Cech (resp., one point) compactification of the product of the G -spaces that is GXG X ( )(resp., GXG X ( )( ) ) and with extra conditions we get that ( )GXG X .
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