On Triples in Arithmetic Progression
โ Scribed by J. Bourgain
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 172 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1016-443X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A set of real numbers a~ < a 2 <... < cl L is called a weakly arithmetic progression of length L, if there exist L consecutive intervals I i = [x i\\_ ~, xl), i = 1 ..... L, of equal length with a~El i. Here we consider conditions from which the existence of weakly arithmetic progressions can (resp.
## 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 (ร + ฮดฮณ)ฮณ<ฮณ<>r, ฮด โ 0.