A partition theorem for $[0,1]$
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- by H. J. Prömel and B. Voigt PDF
- Proc. Amer. Math. Soc. 109 (1990), 281-285 Request permission
Abstract:
We prove a Hindman-type partition theorem for Baire partitions of $[0,1]$.References
- Timothy J. Carlson and Stephen G. Simpson, A dual form of Ramsey’s theorem, Adv. in Math. 53 (1984), no. 3, 265–290. MR 753869, DOI 10.1016/0001-8708(84)90026-4
- Fred Galvin and Karel Prikry, Borel sets and Ramsey’s theorem, J. Symbolic Logic 38 (1973), 193–198. MR 337630, DOI 10.2307/2272055
- Ronald L. Graham, Bruce L. Rothschild, and Joel H. Spencer, Ramsey theory, Wiley-Interscience Series in Discrete Mathematics, John Wiley & Sons, Inc., New York, 1980. MR 591457
- Neil Hindman, Finite sums from sequences within cells of a partition of $N$, J. Combinatorial Theory Ser. A 17 (1974), 1–11. MR 349574, DOI 10.1016/0097-3165(74)90023-5
- A. R. D. Mathias, Happy families, Ann. Math. Logic 12 (1977), no. 1, 59–111. MR 491197, DOI 10.1016/0003-4843(77)90006-7
- Hans Jürgen Prömel and Bernd Voigt, Baire sets of $k$-parameter words are Ramsey, Trans. Amer. Math. Soc. 291 (1985), no. 1, 189–201. MR 797054, DOI 10.1090/S0002-9947-1985-0797054-6
- H. J. Prömel, S. G. Simpson, and B. Voigt, A dual form of Erdős-Rado’s canonization theorem, J. Combin. Theory Ser. A 42 (1986), no. 2, 159–178. MR 847547, DOI 10.1016/0097-3165(86)90087-7
- Saharon Shelah, Can you take Solovay’s inaccessible away?, Israel J. Math. 48 (1984), no. 1, 1–47. MR 768264, DOI 10.1007/BF02760522
- Robert M. Solovay, A model of set-theory in which every set of reals is Lebesgue measurable, Ann. of Math. (2) 92 (1970), 1–56. MR 265151, DOI 10.2307/1970696
Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 109 (1990), 281-285
- MSC: Primary 05A17; Secondary 03E35
- DOI: https://doi.org/10.1090/S0002-9939-1990-1007509-4
- MathSciNet review: 1007509