Topological criteria for schlichtness

Details Topological criteria for schlichtness Topological criteria for schlichtness

2010-04-22

arxiv.org/abs/1004.3947v2

Mathematics

Complex Variables

v2: 3 pages; added new results, including generalization of a theorem of Royden

Scientific paper

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.

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