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ArticleOriginal scientific text

Title

Residuality of dynamical morphisms

Authors 1, 2, 3

Affiliations

  1. Department of Mathematics, Oregon State University, Corvallis, OR 97331-4665 U.S.A.
  2. Centre for Mathematics and Computer Science (CWI), Post Office Box 94079, 1090 GB Amsterdam, The Netherlands
  3. Institute of Mathematics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

Abstract

We present a unified approach to the finite generator theorem of Krieger, the homomorphism theorem of Sinai and the isomorphism theorem of Ornstein. We show that in a suitable space of measures those measures which define isomorphisms or respectively homomorphisms form residual subsets.

Bibliography

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Colloquium Mathematicum
2000/84/85/2
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Pages:
307-317
Main language of publication
English
Received
1999-08-03
Accepted
1999-12-01
Published
2000
Exact and natural sciences