The fractal dimension of invariant subsets for piecewise monotonic maps on the interval.
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The generalized purity law for ergodic measures: a simple proof
Bernard Host, François Parreau (1990)
Colloquium Mathematicae
The quasi-sure ratio ergodic theorem
P. J. Fitzsimmons (1998)
Annales de l'I.H.P. Probabilités et statistiques
The σ-ideal of closed smooth sets does not have the covering property
Carlos Uzcátegui (1996)
Fundamenta Mathematicae
We prove that the σ-ideal I(E) (of closed smooth sets with respect to a non-smooth Borel equivalence relation E) does not have the covering property. In fact, the same holds for any σ-ideal containing the closed transversals with respect to an equivalence relation generated by a countable group of homeomorphisms. As a consequence we show that I(E) does not have a Borel basis.
Currently displaying 1 – 4 of 4
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