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Borel Partitions of Products of Finite Sets and the Ackermann Function

✍ Scribed by Carlos A. Di Prisco; Jimena Llopis; Stevo Todorcevic

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 147 KB
Volume: 93
Category: Article
ISSN: 0097-3165
DOI: 10.1006/jcta.2000.3082

No coin nor oath required. For personal study only.

✦ Synopsis

It is shown that for every primitive recursive sequence [m i ] i=0 of positive integers, there is an ackermannic sequence [n i ] i=0 of positive integers such that for every partition of the product > i=0 n i into two Borel pieces, there are sets H i n i with |H i |=m i such that the subproduct > i=0 H i is included in one of the pieces.

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