On the classification of inverse limits of tent maps

Louis Block, et al. "On the classification of inverse limits of tent maps." Fundamenta Mathematicae 187.2 (2005): 171-192. <http://eudml.org/doc/282674>.

@article{LouisBlock2005,
abstract = {Let $f_s$ and $f_t$ be tent maps on the unit interval. In this paper we give a new proof of the fact that if the critical points of $f_s$ and $f_t$ are periodic and the inverse limit spaces $(I,f_s)$ and $(I,f_t)$ are homeomorphic, then s = t. This theorem was first proved by Kailhofer. The new proof in this paper simplifies the proof of Kailhofer. Using the techniques of the paper we are also able to identify certain isotopies between homeomorphisms on the inverse limit space.},
author = {Louis Block, Slagjana Jakimovik, Lois Kailhofer, James Keesling},
journal = {Fundamenta Mathematicae},
keywords = {continuum; composant; inverse limit; tent map},
language = {eng},
number = {2},
pages = {171-192},
title = {On the classification of inverse limits of tent maps},
url = {http://eudml.org/doc/282674},
volume = {187},
year = {2005},
}

TY - JOUR
AU - Louis Block
AU - Slagjana Jakimovik
AU - Lois Kailhofer
AU - James Keesling
TI - On the classification of inverse limits of tent maps
JO - Fundamenta Mathematicae
PY - 2005
VL - 187
IS - 2
SP - 171
EP - 192
AB - Let $f_s$ and $f_t$ be tent maps on the unit interval. In this paper we give a new proof of the fact that if the critical points of $f_s$ and $f_t$ are periodic and the inverse limit spaces $(I,f_s)$ and $(I,f_t)$ are homeomorphic, then s = t. This theorem was first proved by Kailhofer. The new proof in this paper simplifies the proof of Kailhofer. Using the techniques of the paper we are also able to identify certain isotopies between homeomorphisms on the inverse limit space.
LA - eng
KW - continuum; composant; inverse limit; tent map
UR - http://eudml.org/doc/282674
ER -