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Negatively invariant sets of compact maps and an extension of a theorem of Cartwright

✍ Scribed by John Mallet-Paret


Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
727 KB
Volume
22
Category
Article
ISSN
0022-0396

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An intersection theorem for systems of s
✍ A. V. Kostochka πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 346 KB πŸ‘ 2 views

Erdos and Rado defined a A-system, as a family in which every two members have the same intersection. Here we obtain a new upper bound on the maximum cardinality q ( n , q ) of an n-uniform family not containing any A-system of cardinality q. Namely, we prove that, for any a > 1 and q , there exists