Glasnik matematički, Vol. 42 No. 1, 2007.
Original scientific paper
https://doi.org/10.3336/gm.42.1.03
Structure of inverse limit spaces of tent maps with nonrecurent critical points
Brian Raines
; Department of Mathematics, Baylor University, Waco, TX, USA
Sonja Štimac
; Graduate School of Economics and Business, University of Zagreb, Kennedyev trg 6, 10000 Zagreb, Croatia
Abstract
In this paper we examine the structure of composants of inverse limit spaces generated by tent maps with a nonrecurrent critical point. We identify important structures and substructures of certain composants, and we prove the surprising result that, assuming the critical point is nonrecurrent, there are only finitely many "types" of structures in these composants. This is an important first step towards classifying this family of inverse limit spaces which would in turn lead us closer to a proof of the Ingram Conjecture.
Keywords
Nonrecurrent critical point; tent map; inverse limit; composant; folding point; folding pattern
Hrčak ID:
12878
URI
Publication date:
12.6.2007.
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