Topological Criteria for Schlichtness

Zach Teitler

Topological Criteria for Schlichtness

Zach Teitler

Mathematics Department

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Abstract

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.

Original language	American English
Journal	Proceedings of the Edinburgh Mathematical Society
State	Published - 1 Jun 2013

Keywords

covering space
envelope of holomorphy
schlichtness

EGS Disciplines

Mathematics

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title = "Topological Criteria for Schlichtness",

abstract = " 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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author = "Zach Teitler",

year = "2013",

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day = "1",

language = "American English",

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TY - JOUR

T1 - Topological Criteria for Schlichtness

AU - Teitler, Zach

PY - 2013/6/1

Y1 - 2013/6/1

N2 - 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.

AB - 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.

KW - covering space

KW - envelope of holomorphy

KW - schlichtness

UR - https://scholarworks.boisestate.edu/math_facpubs/113

M3 - Article

SN - 0013-0915

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

ER -

Topological Criteria for Schlichtness

Abstract

Keywords

EGS Disciplines

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