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Homeomorphisms of unimodal inverse limit spaces with a non-recurrent critical point, (CROSBI ID 181131)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Block, Louis ; Keesling, James ; Raines, Brian ; Štimac, Sonja Homeomorphisms of unimodal inverse limit spaces with a non-recurrent critical point, // Topology and its applications, 156 (2009), 15; 2417-2425. doi: 10.1016/j.topol.2009.06.006

Podaci o odgovornosti

Block, Louis ; Keesling, James ; Raines, Brian ; Štimac, Sonja

engleski

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

Let T be a tent map with the slope strictly between \sqrt 2 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.

attractor; invariant set; inverse limits; unimodal; continuum; indecomposable

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Podaci o izdanju

156 (15)

2009.

2417-2425

objavljeno

0166-8641

10.1016/j.topol.2009.06.006

Povezanost rada

Matematika

Poveznice
Indeksiranost