Homeomorphisms of inverse limit spaces of one-dimensional maps

Marcy Barge; Beverly Diamond

Fundamenta Mathematicae (1995)

  • Volume: 146, Issue: 2, page 171-187
  • ISSN: 0016-2736

Abstract

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We present a new technique for showing that inverse limit spaces of certain one-dimensional Markov maps are not homeomorphic. In particular, the inverse limit spaces for the three maps from the tent family having periodic kneading sequence of length five are not homeomorphic.

How to cite

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Barge, Marcy, and Diamond, Beverly. "Homeomorphisms of inverse limit spaces of one-dimensional maps." Fundamenta Mathematicae 146.2 (1995): 171-187. <http://eudml.org/doc/212060>.

@article{Barge1995,
abstract = {We present a new technique for showing that inverse limit spaces of certain one-dimensional Markov maps are not homeomorphic. In particular, the inverse limit spaces for the three maps from the tent family having periodic kneading sequence of length five are not homeomorphic.},
author = {Barge, Marcy, Diamond, Beverly},
journal = {Fundamenta Mathematicae},
keywords = {inverse limit; one-dimensional Markov maps; periodic kneading sequence},
language = {eng},
number = {2},
pages = {171-187},
title = {Homeomorphisms of inverse limit spaces of one-dimensional maps},
url = {http://eudml.org/doc/212060},
volume = {146},
year = {1995},
}

TY - JOUR
AU - Barge, Marcy
AU - Diamond, Beverly
TI - Homeomorphisms of inverse limit spaces of one-dimensional maps
JO - Fundamenta Mathematicae
PY - 1995
VL - 146
IS - 2
SP - 171
EP - 187
AB - We present a new technique for showing that inverse limit spaces of certain one-dimensional Markov maps are not homeomorphic. In particular, the inverse limit spaces for the three maps from the tent family having periodic kneading sequence of length five are not homeomorphic.
LA - eng
KW - inverse limit; one-dimensional Markov maps; periodic kneading sequence
UR - http://eudml.org/doc/212060
ER -

References

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