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Homeomorphisms of unimodal inverse limit spaces with a non-recurrent critical point |
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| Authors: | Louis Block Brian Raines |
| Affiliation: | a Department of Mathematics, University of Florida, Gainesville, FL 32611-8105, USA b Department of Mathematics, Baylor University, Waco, TX 76798-7328, USA c Graduate School of Economics and Business, University of Zagreb, Kennedyev trg 6, 10000 Zagreb, Croatia |
| Abstract: | Let T be a tent map with the slope strictly between  and 2. Suppose that the critical point of T is not recurrent. Let K denote the inverse limit space obtained by using T repeatedly as the bonding map. We prove that every homeomorphism of K to itself is isotopic to some power of the natural shift homeomorphism. |
| Keywords: | 37B45 37E05 54F15 54H20 |
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