Adding machines, endpoints, and inverse limit spaces

Lori Alvin; Karen Brucks

Fundamenta Mathematicae (2010)

  • Volume: 209, Issue: 1, page 81-93
  • ISSN: 0016-2736

Abstract

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Let f be a unimodal map in the logistic or symmetric tent family whose restriction to the omega limit set of the turning point is topologically conjugate to an adding machine. A combinatoric characterization is provided for endpoints of the inverse limit space (I,f), where I denotes the core of the map.

How to cite

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Lori Alvin, and Karen Brucks. "Adding machines, endpoints, and inverse limit spaces." Fundamenta Mathematicae 209.1 (2010): 81-93. <http://eudml.org/doc/283063>.

@article{LoriAlvin2010,
abstract = {Let f be a unimodal map in the logistic or symmetric tent family whose restriction to the omega limit set of the turning point is topologically conjugate to an adding machine. A combinatoric characterization is provided for endpoints of the inverse limit space (I,f), where I denotes the core of the map.},
author = {Lori Alvin, Karen Brucks},
journal = {Fundamenta Mathematicae},
language = {eng},
number = {1},
pages = {81-93},
title = {Adding machines, endpoints, and inverse limit spaces},
url = {http://eudml.org/doc/283063},
volume = {209},
year = {2010},
}

TY - JOUR
AU - Lori Alvin
AU - Karen Brucks
TI - Adding machines, endpoints, and inverse limit spaces
JO - Fundamenta Mathematicae
PY - 2010
VL - 209
IS - 1
SP - 81
EP - 93
AB - Let f be a unimodal map in the logistic or symmetric tent family whose restriction to the omega limit set of the turning point is topologically conjugate to an adding machine. A combinatoric characterization is provided for endpoints of the inverse limit space (I,f), where I denotes the core of the map.
LA - eng
UR - http://eudml.org/doc/283063
ER -

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