A canonical partition theorem for equivalence relations on Zt
نویسندگان
چکیده
منابع مشابه
A Canonical Partition Theorem for Equivalence Relations on Zt
THEOREM A. For every positive integer m there exists a positive integer n such that for every coloring A: (O,..., n 1) + w there exists an arithmetic progression a, a + d,..., a + (m 1)d of length m such that the restriction of A to {a, a + d,..., a + (m l)d} is either a constant or a one-to-one mapping. This theorem is the so called canonical version of van der Waerden’s theorem on arithmetic ...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1983
ISSN: 0097-3165
DOI: 10.1016/0097-3165(83)90067-5