On the extension property of measurable spaces
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- by Włodzimierz Bzyl and Adam Mysior PDF
- Proc. Amer. Math. Soc. 92 (1984), 501-504 Request permission
Abstract:
We prove that a metrizable measurable space has the extension property if and only if it is isomorphic to a Borel subset of the real line. It follows, in particular, that $({\mathbf {R}},\mathcal {P}({\mathbf {R}}))$ does not have the extension property. Both results answer the questions raised by R. M. Shortt.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 92 (1984), 501-504
- MSC: Primary 28A05; Secondary 03E15
- DOI: https://doi.org/10.1090/S0002-9939-1984-0760933-4
- MathSciNet review: 760933