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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.
Sonja Štimac. "Structure of inverse limit spaces of tent maps with finite critical orbit." Fundamenta Mathematicae 191.2 (2006): 125-150. <http://eudml.org/doc/283308>.
@article{SonjaŠtimac2006, 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.}, author = {Sonja Štimac}, journal = {Fundamenta Mathematicae}, keywords = {tent map; inverse limit; composant; folding point; folding pattern}, language = {eng}, number = {2}, pages = {125-150}, title = {Structure of inverse limit spaces of tent maps with finite critical orbit}, url = {http://eudml.org/doc/283308}, volume = {191}, year = {2006}, }
TY - JOUR AU - Sonja Štimac TI - Structure of inverse limit spaces of tent maps with finite critical orbit JO - Fundamenta Mathematicae PY - 2006 VL - 191 IS - 2 SP - 125 EP - 150 AB - 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. LA - eng KW - tent map; inverse limit; composant; folding point; folding pattern UR - http://eudml.org/doc/283308 ER -