A Ramsey theorem for measurable sets
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- by M. Laczkovich PDF
- Proc. Amer. Math. Soc. 130 (2002), 3085-3089 Request permission
Abstract:
We prove that if $X$ is a perfect Polish space and $[X]^2 =P_0 \cup \ldots \cup P_{k-1}$ is a partition with universally measurable pieces, then there is Cantor set $C\subset X$ with $[C]^2 \subset P_i$ for some $i.$References
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Additional Information
- M. Laczkovich
- Affiliation: Department of Analysis, Eötvös Loránd University, Budapest, Pázmány Péter sétàny 1/C, 1117 Hungary – and – Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, England
- Email: laczko@renyi.hu
- Received by editor(s): February 2, 2000
- Received by editor(s) in revised form: May 17, 2001
- Published electronically: March 13, 2002
- Communicated by: Carl G. Jockusch, Jr.
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 3085-3089
- MSC (2000): Primary 03E02, 28A05
- DOI: https://doi.org/10.1090/S0002-9939-02-06403-1
- MathSciNet review: 1908933