Graham-Rothschild parameter words and measurable partitions |
| |
| Authors: | Hans Jürgen Prömel Bernd Voigt |
| |
| Affiliation: | (1) Forschungsinstitut für Diskrete Mathematik, Universität Bonn, Nassestr. 2, 3300 Bonn, F.R.G.;(2) Fakultät für Mathematik, Universität Bielefeld, Universitätsstr, 4800 Bielefeld, F.R.G. |
| |
| Abstract: | Generalizing earlier results of Moran and Strauss (Mathematika 27, 1980, 213–244) and of Carlson and Simpson (Adv. in Math. 53, 1984, 265–290) it was shown in Prömel and Voigts (Trans. Amer. Math. Soc. 291, 1985, 198–201) that Baire sets ofk-parameter words are Ramsey. Motivated by the  duality between category and measure, we investigate in this paper measurable sets ofk parameter words. We show that measurable sets of ascendingk-parameter words are Ramsey, whereas in general measurable sets ofk-parameter words fail to be Ramsey. |
| |
| Keywords: | Primary 05 A 99 Secondary 05 C 55 10 A 50 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
