0-1 law for product measures in product of groups (Q2708147)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 0-1 law for product measures in product of groups |
scientific article |
Statements
3 December 2001
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zero-one law
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product measure
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measure on Abelian group
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coset of product group
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0.87549675
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0.8732703
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0.8700048
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0.8616843
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0-1 law for product measures in product of groups (English)
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It is well known that under various conditions measurable subgroups of an infinite product group have product measure \(0\) or \(1\). Results of this type are established for measurable cosets. The underlying spaces are Abelian groups rather than linear spaces in earlier papers. In this connection the reader may be interested in the paper of \textit{E. Siebert} [Hokkaido Math. J. 16, 235-255 (1987; Zbl 0628.60017)] for further references and related questions.
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