Inverse limits of tentlike maps on trees

Stewart Baldwin. "Inverse limits of tentlike maps on trees." Fundamenta Mathematicae 207.3 (2010): 211-254. <http://eudml.org/doc/282836>.

@article{StewartBaldwin2010,
abstract = {We investigate generalizations of Ingram's Conjecture involving maps on trees. We show that for a class of tentlike maps on the k-star with periodic critical orbit, different maps in the class have distinct inverse limit spaces. We do this by showing that such maps satisfy the conclusion of the Pseudo-isotopy Conjecture, i.e., if h is a homeomorphism of the inverse limit space, then there is an integer N such that h and σ̂^N switch composants in the same way, where σ̂ is the standard shift map of the inverse limit space.},
author = {Stewart Baldwin},
journal = {Fundamenta Mathematicae},
keywords = {Ingram conjecture; inverse limit space; tent map},
language = {eng},
number = {3},
pages = {211-254},
title = {Inverse limits of tentlike maps on trees},
url = {http://eudml.org/doc/282836},
volume = {207},
year = {2010},
}

TY - JOUR
AU - Stewart Baldwin
TI - Inverse limits of tentlike maps on trees
JO - Fundamenta Mathematicae
PY - 2010
VL - 207
IS - 3
SP - 211
EP - 254
AB - We investigate generalizations of Ingram's Conjecture involving maps on trees. We show that for a class of tentlike maps on the k-star with periodic critical orbit, different maps in the class have distinct inverse limit spaces. We do this by showing that such maps satisfy the conclusion of the Pseudo-isotopy Conjecture, i.e., if h is a homeomorphism of the inverse limit space, then there is an integer N such that h and σ̂^N switch composants in the same way, where σ̂ is the standard shift map of the inverse limit space.
LA - eng
KW - Ingram conjecture; inverse limit space; tent map
UR - http://eudml.org/doc/282836
ER -