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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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
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:	Date Event 17 March 2017 Published 20 May 2016 Accepted
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
Related URLs:	Publisher

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