Independence Theories and Generalized Zero-One Laws

Lawrence N. Stout

Independence Theories and Generalized Zero-One Laws

Illinois Wesleyan University

Research output: Journal Article › Article › peer-review

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.

Original language	American English
Journal	Proceedings of the American Mathematical Society
Volume	66
State	Published - Sep 1977

Disciplines

Mathematics

Cite this

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title = "Independence Theories and Generalized Zero-One Laws",

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.",

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AB - 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.

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VL - 66

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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