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Topological criteria for schlichtness

Part of: Analytic continuation Genetics and population dynamics

Published online by Cambridge University Press:  03 April 2013

Zach Teitler
Zach Teitler*
Affiliation:
Department of Mathematics, 1910 University Drive, Boise State University, Boise, ID 83725-1555, USA ([email protected])
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Abstract

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We give two sufficient criteria for schlichtness of envelopes of holomorphy in terms of topology. These are weakened converses of results of Kerner and Royden. Our first criterion generalizes a result of Hammond in dimension 2. Along the way, we also prove a generalization of Royden's theorem.

Keywords

envelope of holomorphyschlichtnesscovering space

MSC classification

Secondary: 32D10: Envelopes of holomorphy
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 56 , Issue 2 , June 2013 , pp. 637 - 640
Copyright
Copyright © Edinburgh Mathematical Society 2013

References

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