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, Volume 22, Issue 1, pp 27–32 | Cite as

On the connectedness of ergodic systems

  • Karl Sigmund


The set of ergodic m.p. transformations of the unit interval and the set of ergodic shift-invariant measures on subshifts of finite type are arcwise connected.


Number Theory Algebraic Geometry Topological Group Unit Interval Finite Type 
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Copyright information

© Springer-Verlag 1977

Authors and Affiliations

  • Karl Sigmund
    • 1
  1. 1.Mathematisches InstitutUniversität WienWienAustria

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