Coverings

Askold Khovanskii
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Askold Khovanskii: University of Toronto, Dept. Mathematics

Chapter Chapter 2 in Galois Theory, Coverings, and Riemann Surfaces, 2013, pp 41-63 from Springer

Abstract: Abstract The second chapter is devoted to coverings over topological spaces and to ramified coverings over Riemann surfaces. There exists a surprising analogy between the fundamental theorem of Galois theory and classification of coverings over a topological space. A description of this analogy is given in the second chapter. We consider several classifications of coverings closely related to each other. At the same time, we stress a formal analogy between the results thus obtained and the fundamental theorem of Galois theory.

Keywords: Riemann Surface; Meromorphic Function; Fundamental Group; Complex Manifold; Marked Point (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-38841-5_2

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DOI: 10.1007/978-3-642-38841-5_2

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