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Topological criteria for schlichtness

Published online by Cambridge University Press:  03 April 2013

Zach Teitler*
Affiliation:
Department of Mathematics, 1910 University Drive, Boise State University, Boise, ID 83725-1555, USA (zteitler@boisestate.edu)
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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.

MSC classification

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2013

References

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