On the classification of inverse limits of tent maps
Fundamenta Mathematicae, Tome 187 (2005) no. 2, pp. 171-192
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
tent maps unit interval paper proof the critical points periodic inverse limit spaces homeomorphic theorem first proved kailhofer proof paper simplifies proof kailhofer using techniques paper able identify certain isotopies between homeomorphisms inverse limit space
Affiliations des auteurs :
Louis Block 1 ; Slagjana Jakimovik 2 ; Lois Kailhofer 3 ; James Keesling 1
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author = {Louis Block and Slagjana Jakimovik and Lois Kailhofer and James Keesling},
title = {On the classification of inverse limits of tent maps},
journal = {Fundamenta Mathematicae},
pages = {171--192},
publisher = {mathdoc},
volume = {187},
number = {2},
year = {2005},
doi = {10.4064/fm187-2-5},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm187-2-5/}
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Louis Block; Slagjana Jakimovik; Lois Kailhofer; James Keesling. On the classification of inverse limits of tent maps. Fundamenta Mathematicae, Tome 187 (2005) no. 2, pp. 171-192. doi: 10.4064/fm187-2-5
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