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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Rings of continuous functions
and the branch set of a covering


Author: M. A. Mulero
Journal: Proc. Amer. Math. Soc. 126 (1998), 2183-2189
MSC (1991): Primary 54C40, 13B10, 54C10
MathSciNet review: 1451822
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Abstract: This paper gives a characterization of the branch set of a finite covering $X\to S$ 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.


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Additional Information

M. A. Mulero
Affiliation: Departamento de Matemáticas, Universidad de Extremadura \ 06071 Badajoz, Spain
Email: mamulero@ba.unex.es

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04353-6
PII: S 0002-9939(98)04353-6
Keywords: Rings of continuous functions, branched covering, K\"ahler differentials
Received by editor(s): January 30, 1996
Received by editor(s) in revised form: January 1, 1997
Communicated by: Franklin D. Tall
Article copyright: © Copyright 1998 American Mathematical Society