Structure of inverse limit spaces of tent maps with finite critical orbit
Volume 191 / 2006
Fundamenta Mathematicae 191 (2006), 125-150
MSC: 37B10, 37B45.
DOI: 10.4064/fm191-2-2
Abstract
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.
