For ~22, ta?, let A, ,..., 4 be s-cell partitions of a finite set X. Assume that if x, y E X7 x # y, then x, y belong to different cells of at least one of the part&ons 4. For each k > 1, let c(s, t, k) be the least integer such that if A 1,. . . ., 4 X satisfy the preceding conditions, and the smal
✦ LIBER ✦
Partitions of the set of finite sequences
✍ Scribed by María Carrasco; Carlos Augusto Di Prisco; Andrés Millán
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 685 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
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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=