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April, 1978 Borel-Programmable Functions
D. Blackwell
Ann. Probab. 6(2): 321-324 (April, 1978). DOI: 10.1214/aop/1176995576

Abstract

A new class of functions, the BP (Borel-programmable) functions, is defined. It is strictly larger than the class of Borel functions, but has some similar properties, including closure under composition. All BP functions are absolutely measurable. The class of BP sets (those with BP indicators) is a Borel field and is closed under operation A. The relation of BP sets to the R-sets of Kolmogorov is not treated.

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D. Blackwell. "Borel-Programmable Functions." Ann. Probab. 6 (2) 321 - 324, April, 1978. https://doi.org/10.1214/aop/1176995576

Information

Published: April, 1978
First available in Project Euclid: 19 April 2007

zbMATH: 0398.28002
MathSciNet: MR460573
Digital Object Identifier: 10.1214/aop/1176995576

Subjects:
Primary: 28A05
Secondary: 04A15

Rights: Copyright © 1978 Institute of Mathematical Statistics

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Vol.6 • No. 2 • April, 1978
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