2 citations · 3 across the 4 of their papers we have counts for
6 papers
A characterization of a map whose inverse limit is an arc
Sina Greenwood, Sonja Stimac
For a continuous function we define a splitting sequence admitted by and show that the inverse limit of is an arc if and only if does not admit a…
Homeomorphisms of unimodal inverse limit spaces with a non-recurrent postcritical point
Louis Block, James Keesling, Brian Raines +1
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…
On isotopy of self-homeomorphisms of quadratic inverse limit spaces
Henk Bruin, Sonja Stimac
We prove that every self-homeomorphism on the inverse limit space of a quadratic map is isotopic to some power of the shift map.
Rotation sets and almost periodic sequences
Tobias Jäger, Alejandro Passeggi, Sonja Štimac
We study the rotational behaviour on minimal sets of torus homeomorphisms and show that the associated rotation sets can be any type of line segments as well as non-convex and even…
Fibonacci-like unimodal inverse limit spaces and the core Ingram conjecture
Henk Bruin, Sonja Stimac
We study the structure of inverse limit space of so-called Fibonacci-like tent maps. The combinatorial constraints implied by the Fibonacci-like assumption allow us to introduce ce…
On isotopy and unimodal inverse limit spaces
Henk Bruin, Sonja Stimac
We prove that every self-homeomorphism on the inverse limit space of tent map with slope is isotopic to a power of the shift-home…