Continuum many tent map inverse limits with homeomorphic postcritical ω-limit sets

Chris Good, and Brian E. Raines. "Continuum many tent map inverse limits with homeomorphic postcritical ω-limit sets." Fundamenta Mathematicae 191.1 (2006): 1-21. <http://eudml.org/doc/282716>.

@article{ChrisGood2006,
abstract = {We demonstrate that the set of topologically distinct inverse limit spaces of tent maps with a Cantor set for its postcritical ω-limit set has cardinality of the continuum. The set of folding points (i.e. points at which the space is not homeomorphic to the product of a zero-dimensional set and an arc) of each of these spaces is also a Cantor set.},
author = {Chris Good, Brian E. Raines},
journal = {Fundamenta Mathematicae},
keywords = {attractor; invariant set; inverse limits; unimodal; continuum; indecomposable},
language = {eng},
number = {1},
pages = {1-21},
title = {Continuum many tent map inverse limits with homeomorphic postcritical ω-limit sets},
url = {http://eudml.org/doc/282716},
volume = {191},
year = {2006},
}

TY - JOUR
AU - Chris Good
AU - Brian E. Raines
TI - Continuum many tent map inverse limits with homeomorphic postcritical ω-limit sets
JO - Fundamenta Mathematicae
PY - 2006
VL - 191
IS - 1
SP - 1
EP - 21
AB - We demonstrate that the set of topologically distinct inverse limit spaces of tent maps with a Cantor set for its postcritical ω-limit set has cardinality of the continuum. The set of folding points (i.e. points at which the space is not homeomorphic to the product of a zero-dimensional set and an arc) of each of these spaces is also a Cantor set.
LA - eng
KW - attractor; invariant set; inverse limits; unimodal; continuum; indecomposable
UR - http://eudml.org/doc/282716
ER -