On the classification of inverse limits of tent maps
Louis Block ; Slagjana Jakimovik ; Lois Kailhofer ; James Keesling
Fundamenta Mathematicae, Tome 185 (2005), p. 171-192 / Harvested from The Polish Digital Mathematics Library
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Let fs and ft be tent maps on the unit interval. In this paper we give a new proof of the fact that if the critical points of fs and ft are periodic and the inverse limit spaces (I,fs) and (I,ft) 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.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:282674 
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Louis Block; Slagjana Jakimovik; Lois Kailhofer; James Keesling. On the classification of inverse limits of tent maps. Fundamenta Mathematicae, Tome 185 (2005) pp. 171-192. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm187-2-5/