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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

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📜 SIMILAR VOLUMES


On subsets of partial difference sets
✍ S.L. Ma 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 496 KB

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

On the minimal cofinal subsets of a dire
✍ Wang Shang-Zhi; Li Bo-Yu 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 818 KB

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