A partition relation for successors of Large Cardinals |
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| Authors: | Matthew Foreman Andras Hajnal |
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| Institution: | (1) Department of Mathematics, University of California, Irvine, CA 92697-3875, USA , US;(2) Department of Mathematics, Rutgers University, Hill Center, Busch Campus, Piscataway, NJ 08854-8019, USA , US |
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| Abstract: | We address partition problems of Erd?s and Hajnal by showing that for all , if and carries a -dense ideal. If is measurable we show that for where is a very large ordinal less than that is closed under all primitive recursive ordinal operations.
Received: 27 June 2001 / Revised version: 5 December 2001 / Published online: 4 February 2003
The first author was partially supported by NSF grant DMS-0101155 and the Equipe d'Analyse Univ. of Paris 6. The second author
was partially supported by NSF grants DMS-0072560 and DMS-9704477. |
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