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ArticleOriginal scientific text

Title

Homeomorphisms of inverse limit spaces of one-dimensional maps

Authors 1, 2

Affiliations

  1. Department of Mathematical Sciences, Montana State University, Bozeman, Montana 59717, U.S.A.
  2. Department of Mathematics, University of Charleston, Charleston, South Carolina 29424, U.S.A.

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.

Bibliography

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Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm146/fm14627.pdf

Fundamenta Mathematicae
1994-1995/146/2
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Pages:
171-187
Main language of publication
English
Received
1993-11-03
Accepted
1994-05-08
Published
1995
Exact and natural sciences