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F. Blanchard, B. Kamiński (1995)
Studia Mathematica
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We show that for every ergodic flow, given any factor σ-algebra ℱ, there exists a σ-algebra which is relatively perfect with respect to ℱ. Using this result and Ornstein's isomorphism theorem for flows, we give a functorial definition of the entropy of flows.
B. Kamiński, Z. Kowalski, P. Liardet (1997)
Studia Mathematica
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We show that for every positive integer d there exists a -action and an extremal σ-algebra of it which is not perfect.
Miroslav Krutina (1989)
Commentationes Mathematicae Universitatis Carolinae
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Brunon Kamiński, Artur Siemaszko, Jerzy Szymański (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
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We introduce the concept of an extreme relation for a topological flow as an analogue of the extreme measurable partition for a measure-preserving transformation considered by Rokhlin and Sinai, and we show that every topological flow has such a relation for any invariant measure. From this result, it follows, among other things, that any deterministic flow has zero topological entropy and any flow which is a K-system with respect to an invariant measure with full support is a topological...
Miroslav Krutina (1989)
Commentationes Mathematicae Universitatis Carolinae
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B. Kamiński (1990)
Studia Mathematica
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Mark Pollicott (1991-1992)
Séminaire de théorie spectrale et géométrie
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