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Rings of continuous functions and the branch set of a covering
Authors:M. A. Mulero
Affiliation:Departamento de Matemáticas, Universidad de Extremadura 06071 Badajoz, Spain
Abstract:This paper gives a characterization of the branch set of a finite covering $Xto S$ of a topological space $S$, by means of finite $C(S)$-subalgebras $A$ of $C(X)$ that separate points in $X$ and the module $Omega _{A/C(S)}$ of its Kähler differentials.

Keywords:Rings of continuous functions, branched covering, K"  ahler differentials
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