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Limits of limit sets II : geometrically infinite groups
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Mj, Mahan and Series, Caroline (2017) Limits of limit sets II : geometrically infinite groups. Geometry and Topology, 21 (2). pp. 647-692. doi:10.2140/gt.2017.21.647 ISSN 1465-3060.
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Official URL: http://doi.org/10.2140/gt.2017.21.647
Abstract
We show that for a strongly convergent sequence of purely loxodromic finitely generated Kleinian groups with incompressible ends, Cannon-Thurston maps, viewed as maps from a fixed base limit set to the Riemann sphere, converge uniformly. For algebraically convergent sequences we show that there exist examples where even pointwise convergence of Cannon-Thurston maps fails.
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): | Group Theory, Kleinian groups | ||||||
Journal or Publication Title: | Geometry and Topology | ||||||
Publisher: | Geometry & Topology Publications | ||||||
ISSN: | 1465-3060 | ||||||
Official Date: | 17 March 2017 | ||||||
Dates: |
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Volume: | 21 | ||||||
Number: | 2 | ||||||
Page Range: | pp. 647-692 | ||||||
DOI: | 10.2140/gt.2017.21.647 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Date of first compliant deposit: | 28 April 2017 | ||||||
Date of first compliant Open Access: | 2 May 2017 | ||||||
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