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On a Ring Isomorphism Induced by Quasiconformal Mappings

Published online by Cambridge University Press:  22 January 2016

Mitsuru Nakai
Mitsuru Nakai*
Affiliation:
Mathematical Institute, Nagoya University
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The purpose of this paper is to study the relationship between a certain isomorphism of some rings of functions on Riemann surfaces and a quasi-conformal mapping.

It is well known that two compact Hausdorff spaces are topologically equivalent if and only if their rings of continuous functions are isomorphic. We shall establish an analougous result concerning a function ring on a Riemann surface and the quasi-conformal equivalence.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 14 , February 1959 , pp. 201 - 221
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1959

References

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