The Annals of Probability

Borel-Programmable Functions

D. Blackwell

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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.

Article information

Source
Ann. Probab., Volume 6, Number 2 (1978), 321-324.

Dates
First available in Project Euclid: 19 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aop/1176995576

Digital Object Identifier
doi:10.1214/aop/1176995576

Mathematical Reviews number (MathSciNet)
MR460573

Zentralblatt MATH identifier
0398.28002

JSTOR
links.jstor.org

Subjects
Primary: 28A05: Classes of sets (Borel fields, $\sigma$-rings, etc.), measurable sets, Suslin sets, analytic sets [See also 03E15, 26A21, 54H05]
Secondary: 04A15

Keywords
Absolutely measurable operation A

Citation

Blackwell, D. Borel-Programmable Functions. Ann. Probab. 6 (1978), no. 2, 321--324. doi:10.1214/aop/1176995576. https://projecteuclid.org/euclid.aop/1176995576


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