Residuality of dynamical morphisms

Volume 84 / 2000

R. Burton, M. Keane, Jacek Serafin Colloquium Mathematicum 84 (2000), 307-317 DOI: 10.4064/cm-84/85-2-307-317


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.


  • R. Burton
  • M. Keane
  • Jacek Serafin

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