On Ramsey sets in spheres
✍ Scribed by Jiří Matoušek; Vojtěch Rödl
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 685 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## 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
Gowers' analysis of the combinatorial content of his celebrated dichotomy for infinite-dimensional separable Banach spaces [7] led him to the formulation of the property of being weakly Ramsey applied to sets of block bases, a combinatorial notion related to the classical Ramsey property for infinit