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A classification of inverse limit spaces of tent maps with a nonrecurrent critical point

Brian E Raines and Sonja Štimac

Algebraic & Geometric Topology 9 (2009) 1049–1088

DOI: 10.2140/agt.2009.9.1049
Abstract

In this paper we prove the nonrecurrent case of the Ingram conjecture by showing that if Ts and Tt are two tent maps with nonrecurrent critical points then lim ← −{[0,1],Ts} is homeomorphic to lim ←−{[0,1],Tt} if and only if s = t.

Keywords

tent map, nonrecurrent critical point, inverse limit space, folding point
Mathematical Subject Classification

Primary: 37B10

Secondary: 37B45
References
Publication

Received: 7 January 2008
Revised: 11 April 2009
Accepted: 15 April 2009
Published: 16 May 2009
Authors
Brian E Raines
Department of Mathematics
Baylor University
Waco, TX
USA
http://www.baylor.edu/math/index.php?id=54016
Sonja Štimac
Graduate School of Economics and Business
University of Zagreb
Kennedyev trg 6
10000 Zagreb
Croatia
http://www.efzg.hr/sstimac