✦ LIBER ✦

Intersections of Sets in Euclidean Space

✍ Scribed by Eggleston, H. G.

Book ID: 120099038
Publisher: Oxford University Press
Year: 1948
Tongue: English
Weight: 246 KB
Volume: s1-23
Category: Article
ISSN: 0024-6107
DOI: 10.1112/jlms/s1-23.2.92

No coin nor oath required. For personal study only.

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The growth function for a class of subsets C of a set X is defined by m'(N) = max {AC(F): F G X, IFI = N} , N = 1,2,. . . , where AC(F) = ({F n C: C E C}l, the number of possible sets obtained by intersecting an element of C with the set F. Sauer (1972) showed that if C forms a Vapnik-Chervonenkis c