|
|||||
|
|
|
|
|
|
|
|
|
The
Ingram conjecture
Marcy Barge, Henk Bruin and Sonja Štimac |
|
Geometry & Topology 16 (2012) 2481–2516
|
Abstract |
|
We prove the Ingram conjecture, ie we show that the inverse limit spaces of tent maps with different slopes in the interval are nonhomeomorphic. Based on the structure obtained from the proof, we also show that every self-homeomorphism of the inverse limit space of a tent map is pseudo-isotopic, on the core, to some power of the shift homeomorphism. |
Keywords
tent map, inverse limit space, unimodal map,
classification, pseudo-isotopy
|
Mathematical Subject Classification 2010
Primary: 54H20
Secondary: 37B45, 37E05
|
References |
Publication
Received: 7 June 2012
Accepted: 14 August 2012
Published: 5 February 2013
Proposed: David Gabai
Seconded: Leonid Polterovich, Steve Ferry
|
Authors |
| Marcy Barge | |
| Department of Mathematical
Sciences Montana State University Bozeman, MT 59717 USA |
|
| http://www.math.montana.edu/~umsfmbar/ | |
| Henk Bruin | |
| Faculty of Mathematics University of Vienna Nordbergstrasse 15 1090 Wien Austria |
|
| http://www.mat.univie.ac.at/~bruin/ | |
| Sonja Štimac | |
| Department of Mathematics University of Zagreb Bijenička 30 10000 Zagreb Croatia |
|
| http://www.math.hr/~sonja | |
|
