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Almost everywhere convergence in MV-algebras with product - MaRDI portal

Almost everywhere convergence in MV-algebras with product (Q5953517)

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scientific article; zbMATH DE number 1694737
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Almost everywhere convergence in MV-algebras with product
scientific article; zbMATH DE number 1694737

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    Almost everywhere convergence in MV-algebras with product (English)
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    23 February 2003
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    This is a short technical paper in which the author generalizes some limit constructions in probability (almost everywhere convergence of random functions). The classical probability space is generalized to a probability MV-algebra \((M,m)\), where \(M\) is a \(\sigma\)-complete MV-algebra with product and \(m\) is a faithful state, and a classical random function is generalized to an \(n\)-dimensional observable (a map of the Borel subsets of \(R^n\) into \(M\) which partially preserves the structure of random events). Misprints (e.g. a missing parenthesis) are rather numerous but they can be easily corrected.
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    MV-algebra with product
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    observable
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    almost everywhere convergence
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    limit constructions
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