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- W1977376785 abstract "A topological system ( X , f ) is F -transitive if for each pair of opene subsets U and V of X , N f (U,V)={n∈ Z + : f n U∩V≠∅}∈ F , where F is a collection of subsets of Z + which is hereditary upward. ( X , f ) is F -mixing if ( X × X , f × f ) is F -transitive. In this paper F -mixing systems are characterized in terms of the chaoticity of the systems. Moreover, weak disjointness is studied via family. We will give conditions such that a dual theorem of the Weiss–Akin–Glasner theorem holds. Examples with this dual theorem fails for some “good” families are obtained." @default.
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- W1977376785 date "2004-01-01" @default.
- W1977376785 modified "2023-09-27" @default.
- W1977376785 title "F-mixing and weak disjointness" @default.
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- W1977376785 doi "https://doi.org/10.1016/s0166-8641(03)00166-4" @default.
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