Asymptotic arc-components of unimodal inverse limit spaces
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 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 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 کاملInverse limit spaces of post - critically finite tent maps
Let (I, T ) be the inverse limit space of a post-critically finite tent map. Conditions are given under which these inverse limit spaces are pairwise nonhomeomorphic. This extends results of Barge & Diamond [2].
متن کامل2 01 3 Inverse Limit Spaces Satisfying a Poincaré Inequality
We give conditions on Gromov-Hausdorff convergent inverse systems of metric measure graphs which imply that the measured Gromov-Hausdorff limit (equivalently, the inverse limit) is a PI space i.e., it satisfies a doubling condition and a Poincaré inequality in the sense of Heinonen-Koskela [HK96]. The Poincaré inequality is actually of type (1, 1). We also give a systematic construction of exam...
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: 2005
ISSN: 0166-8641
DOI: 10.1016/j.topol.2004.10.017