Homeomorphisms of unimodal inverse limit spaces with a non-recurrent postcritical point

Homeomorphisms of unimodal inverse limit spaces with a non-recurrent postcritical point

In this paper we show that the group of automorphisms of a non-recurrent tent map inverse limit is very simple by demonstrating that every homeomorphism of such a space is isotopic to a power of the induced shift homeomorphism.

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Veröffentlicht in:arXiv.org 2019-03
Hauptverfasser: Block, Louis, Keesling, James, Raines, Brian, Stimac, Sonja
Format: Artikel
Sprache:eng
Schlagworte:
Automorphisms
Topology
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Zusammenfassung:In this paper we show that the group of automorphisms of a non-recurrent tent map inverse limit is very simple by demonstrating that every homeomorphism of such a space is isotopic to a power of the induced shift homeomorphism.
ISSN:2331-8422