Using methods of symbolic dynamics, we analyze the structure of composants of the inverse limit spaces of tent maps with finite critical orbit. We define certain symmetric arcs called bridges. They are building blocks of composants. Then we show that the folding patterns of bridges are characterized by bridge types and prove that there are finitely many bridge types.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm191-2-2,
author = {Sonja \v Stimac},
title = {Structure of inverse limit spaces of tent maps with finite critical orbit},
journal = {Fundamenta Mathematicae},
volume = {189},
year = {2006},
pages = {125-150},
zbl = {1134.37338},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm191-2-2}
}
Sonja Štimac. Structure of inverse limit spaces of tent maps with finite critical orbit. Fundamenta Mathematicae, Tome 189 (2006) pp. 125-150. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm191-2-2/