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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Independence theories and generalized zero-one laws
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by Lawrence Neff Stout PDF
Proc. Amer. Math. Soc. 66 (1977), 153-158 Request permission

Abstract:

In this paper an abstract characterization of the properties of independent events is given with examples from topology, probability, and Baire structures. Using this notion of independence, proofs of the Hewitt-Savage and Kolmogorov zero-one laws are given which include the probabilistic case and the topological cases considered by Oxtoby, Christensen, and K. P. S. and M. Bhaskara Rao.
References
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Additional Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 66 (1977), 153-158
  • MSC: Primary 54H05; Secondary 60F20
  • DOI: https://doi.org/10.1090/S0002-9939-1977-0515144-0
  • MathSciNet review: 0515144