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

Raines, Brian E; Štimac, Sonja

doi:10.2140/agt.2009.9.1049

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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 $T_{s}$ and $T_{t}$ are two tent maps with nonrecurrent critical points then $lim_{\leftarrow} {[0, 1], T_{s}}$ is homeomorphic to $lim_{\leftarrow} {[0, 1], T_{t}}$ if and only if $s = t$ .

Keywords

tent map, nonrecurrent critical point, inverse limit space, folding point

Mathematical Subject Classification 2000

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

Volume 9, issue 2 (2009)