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On Ramified Riemann Domains

Published online by Cambridge University Press:  22 January 2016

Yoshio Togari
Yoshio Togari*
Affiliation:
Mathematical Institute, Nagoya University
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Let ϕ be a holomorphic mapping of an n-dimensional analytic space E into Cn. If ϕ is non-degenerate at every point of E, we call the pair (E, ϕ) a Riemann domain. The notion of a Riemann domain is a generalization of the notion of a concrete Riemann surface. A Riemann domain (E, ϕ) is said to be unramified if ϕ is a local homeomorphism, and to be ramified if otherwise.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 14 , February 1959 , pp. 173 - 191
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1959

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