Displaying similar documents to “Revealed automorphisms”

Multiplication of nonadditive cuts in AST

Karel Čuda (1991)

Commentationes Mathematicae Universitatis Carolinae

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Three complete characteristics of couples of nonadditive cuts such that J × K ̲ J t i m e s K ¯ are given. The equality J × K ¯ = J ! K is proved for all couples of nonadditive cuts. Some examples of nonadditive cuts are described.

More set-theory around the weak Freese–Nation property

Sakaé Fuchino, Lajos Soukup (1997)

Fundamenta Mathematicae

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We introduce a very weak version of the square principle which may hold even under failure of the generalized continuum hypothesis. Under this weak square principle, we give a new characterization (Theorem 10) of partial orderings with κ-Freese-Nation property (see below for the definition). The characterization is not a ZFC theorem: assuming Chang’s Conjecture for ω , we can find a counter-example to the characterization (Theorem 12). We then show that, in the model obtained by adding...

Gaussian automorphisms whose ergodic self-joinings are Gaussian

Mariusz Lemańczyk, F. Parreau, J. Thouvenot (2000)

Fundamenta Mathematicae

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 We study ergodic properties of the class of Gaussian automorphisms whose ergodic self-joinings remain Gaussian. For such automorphisms we describe the structure of their factors and of their centralizer. We show that Gaussian automorphisms with simple spectrum belong to this class.  We prove a new sufficient condition for non-disjointness of automorphisms giving rise to a better understanding of Furstenberg's problem relating disjointness to the lack of common factors....