Authors: | Di Prisco, Carlos Llopis, Jimena Todorčević, Stevo |
Title: | Borel partitions of products of finite sets and the Ackermann function | Journal: | Journal of Combinatorial Theory. Series A | Volume: | 93 | Issue: | 2 | First page: | 333 | Last page: | 349 | Issue Date: | 1-Jan-2001 | Rank: | M22 | ISSN: | 0097-3165 | DOI: | 10.1006/jcta.2000.3082 | Abstract: | It is shown that for every primitive recursive sequence mi∞i=0 of positive integers, there is an ackermannic sequence ni∞i=0 of positive integers such that for every partition of the product ∏∞i=0ni into two Borel pieces, there are sets Hi⊆ni with Hi=mi such that the subproduct ∏∞i=0Hi is included in one of the pieces. |
Publisher: | Elsevier |
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