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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Representation of Borel isomorphism by a probability measure


Author: R. M. Shortt
Journal: Proc. Amer. Math. Soc. 104 (1988), 284-286
MSC: Primary 04A15; Secondary 28A05, 54H05
MathSciNet review: 958084
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Abstract: A theorem of Chuaqui on the representation of equivalence relations by probability measures is applied to Borel isomorphism. Using a result of Cenzer and Mauldin, we show that under $ V = L$, the isomorphism types of analytic sets cannot be linearly ordered.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0958084-2
PII: S 0002-9939(1988)0958084-2
Keywords: Analytic set, Borel isomorphism, Borel set
Article copyright: © Copyright 1988 American Mathematical Society