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schlichtness

Proceedings of the Edinburgh Mathematical Society (1)

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1 results

Topological criteria for schlichtness
Part of
- Analytic continuation
- Genetics and population dynamics
Zach Teitler
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 56 / Issue 2 / June 2013

Published online by Cambridge University Press:

03 April 2013, pp. 637-640
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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.