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

 

La pathologie des relèvements invariants


Author: Michel Talagrand
Journal: Proc. Amer. Math. Soc. 84 (1982), 379-382
MSC: Primary 46G15; Secondary 28A51
MathSciNet review: 640236
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Abstract: Sur un groupe abélien localement compact $ G$, il existe une fonction mesurable $ f$ telle que pour tout relèvement $ \rho $ de $ {L^\infty }(G)$ invariant par translation, la fonction $ \rho (f)$ ne soit pas universellement mesurable, et ne possède pas la propriété de Baire forte.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1982-0640236-7
PII: S 0002-9939(1982)0640236-7
Keywords: Translation invariant lifting, Borel lifting
Article copyright: © Copyright 1982 American Mathematical Society