A study of Galois covering through the sheets of the covering

Abstract

Let $Deck_x (\tilde{X})$ denote the set of all covering transformations of a covering $p:(\tilde{X},\tilde{x})\rightarrow (X,x)$, where $(X,x)$ is a path connected, locally path connected pointed topological spaces, then $Deck_x (\tilde{X})$ is a group[ref.6].\\ In this paper we study \\ i) the Galois covering through the group $Deck_x (\tilde{X})$; also \\ii) the Galois covering through the sheets of the covering; finally \\iii) some applications of Galois covering.