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Ultrafilters and multidimensional Ramsey Theorems

✍ Scribed by V. Bergelson; N. Hindman

Publisher
Springer-Verlag
Year
1989
Tongue
English
Weight
384 KB
Volume
9
Category
Article
ISSN
0209-9683

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## Abstract Let us call a finite subset __X__ of a Euclidean __m__‐space E^m^ __Ramsey__ if for any positive integer __r__ there is an integer __n__ = __n__(__X;r__) such that in any partition of E^n^ into __r__ classes __C__~1~,…, __C~r~__, some __C~i~__ contains a set __X__' which is the image of