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Curve complexes are rigid
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Rafi, Kasra and Schleimer, Saul (2011) Curve complexes are rigid. Duke Mathematical Journal, Vol.158 (No.2). pp. 225-246. doi:10.1215/00127094-1334004 ISSN 0012-7094.
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Official URL: http://dx.doi.org/10.1215/00127094-1334004
Abstract
Any quasi-isometry of the curve complex is bounded distance from a simplicial automorphism. As a consequence, the quasi-isometry type of the curve complex determines the homeomorphism type of the surface.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Topology, Curves, Homeomorphisms | ||||
Journal or Publication Title: | Duke Mathematical Journal | ||||
Publisher: | Duke University Press | ||||
ISSN: | 0012-7094 | ||||
Official Date: | 1 June 2011 | ||||
Dates: |
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Volume: | Vol.158 | ||||
Number: | No.2 | ||||
Page Range: | pp. 225-246 | ||||
DOI: | 10.1215/00127094-1334004 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Date of first compliant deposit: | 18 December 2015 | ||||
Date of first compliant Open Access: | 18 December 2015 |
Data sourced from Thomson Reuters' Web of Knowledge
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