On sets of directions determined by subsets of ℝd
✍ Scribed by Alex Iosevich; Mihalis Mourgoglou; Steven Senger
- Book ID
- 113091218
- Publisher
- Springer-Verlag
- Year
- 2012
- Tongue
- English
- Weight
- 512 KB
- Volume
- 116
- Category
- Article
- ISSN
- 0021-7670
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let G be a finite group of order v. A k-element subset D of G is called a (v, k, I, p)-partial difference set in G if the expressions gh-', for g and h in D with g # h, represent each nonidentity element contained in D exactly i times and represent each nonidentity element not contained in D exactly
It is shown that for any directed quasi-ordered set (Q, ~<), there is a minimal ordinal number h such that every cofinal subset of Q contains a cofinal subset which is the 0-th class original set of a pure h-th class chain of Q. A special case of our results gives necessary and sufficient conditions