Homeomorphisms of unimodal inverse limit spaces with a non-recurrent critical point
نویسندگان
چکیده
منابع مشابه
Homeomorphisms of Unimodal Inverse Limit Spaces with a Non-recurrent Critical Point
Let T be a tent map with the slope strictly between √ 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.
متن کاملHomeomorphisms of inverse limit spaces of one-dimensional maps
We present a new technique for showing that inverse limit spaces of certain one-dimensional Markov maps are not homeomorphic. In particular, the inverse limit spaces for the three maps from the tent family having periodic kneading sequence of length five are not homeomorphic.
متن کامل(Non)invertibility of Fibonacci-like unimodal maps restricted to their critical omega-limit sets
A Fibonacci(-like) unimodal map is defined by special combinatorial properties which guarantee that the critical omega-limit set ω(c) is a minimal Cantor set. In this paper we give conditions to ensure that f |ω(c) is invertible, except at a subset of the backward critical orbit. Furthermore, any finite subtree of the binary tree can appear for some f as the tree connecting all points at which ...
متن کاملUniform Measures on Inverse Limit Spaces
Motivated by problems from dynamic economic models, we consider the problem of defining a uniform measure on inverse limit spaces. Let f : X → X where X is a compact metric space and f is continuous, onto and piecewise one-to-one and Y := lim ←− (X, f). Then starting with a measure μ1 on the Borel sets B(X), we recursively construct a sequence of probability measures {μn}n=1 on B(X) satisfying ...
متن کاملRecurrent Surface Homeomorphisms
An orientation-preserving recurrent homeomorphism of the twosphere which is not the identity is shown to admit exactly two fixed points. A recurrent homeomorphism of a compact surface with negative Euler characteristic is periodic.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2009
ISSN: 0166-8641
DOI: 10.1016/j.topol.2009.06.006