A classification of inverse limit spaces of tent maps with a nonrecurrent critical point
نویسندگان
چکیده
منابع مشابه
Inverse 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 کاملHomeomorphisms 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.
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2009
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2009.9.1049