Topological Criteria for Schlichtness

Zach Teitler

doi:10.1017/S001309151300031X

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
Pages (from-to)	637-640
Number of pages	4
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	56
Issue number	2
DOIs	https://doi.org/10.1017/S001309151300031X
State	Published - Jun 2013

Keywords

covering space
envelope of holomorphy
schlichtness

EGS Disciplines

Mathematics

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10.1017/S001309151300031X

Topological Criteria for SchlichtnessFinal published version, 121 KBLicense: Unspecified

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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",

month = jun,

doi = "10.1017/S001309151300031X",

language = "American English",

volume = "56",

pages = "637--640",

number = "2",

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T1 - Topological Criteria for Schlichtness

AU - Teitler, Zach

PY - 2013/6

Y1 - 2013/6

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://www.scopus.com/pages/publications/84894135897

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

U2 - 10.1017/S001309151300031X

DO - 10.1017/S001309151300031X

M3 - Article

SN - 0013-0915

VL - 56

SP - 637

EP - 640

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

IS - 2

ER -

Topological Criteria for Schlichtness

Abstract

Keywords

EGS Disciplines

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