Geodesic
Structure of inverse limit spaces of tent maps with finite critical orbit
Sonja Štimac1
1 Graduate School of Economics and Business University of Zagreb Kennedyev trg 6 10000 Zagreb, Croatia
Fundamenta Mathematicae, Tome 191 (2006) no. 2, pp. 125-150 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/fm191-2-2
Keywords: using methods symbolic dynamics analyze structure composants inverse limit spaces tent maps finite critical orbit define certain symmetric arcs called bridges building blocks composants folding patterns bridges characterized bridge types prove there finitely many bridge types

Sonja Štimac 1

1 Graduate School of Economics and Business University of Zagreb Kennedyev trg 6 10000 Zagreb, Croatia 
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Sonja Štimac. Structure of inverse limit spaces of
 tent maps with finite critical orbit. Fundamenta Mathematicae, Tome 191 (2006) no. 2, pp. 125-150. doi: 10.4064/fm191-2-2

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