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On Triples in Arithmetic Progression

โœ Scribed by J. Bourgain


Publisher
Springer
Year
1999
Tongue
English
Weight
172 KB
Volume
9
Category
Article
ISSN
1016-443X

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## Abstract The class of all ordinal numbers can be partitioned into two subclasses in such a way that neither subclass contains an arithmetic progression of order type ฯ‰, where an arithmetic progression of order type ฯ„ means an increasing sequence of ordinal numbers (รŸ + ฮดฮณ)ฮณ<ฮณ<>r, ฮด โ‰  0.

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