The identification of a set by successive intersections
โ Scribed by Arthur Gill; Doron Gottlieb
- Book ID
- 114037032
- Publisher
- Elsevier Science
- Year
- 1974
- Weight
- 483 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0019-9958
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper we improve the construction of Goto (1993) to obtain the Main Theorem: Let n, m and k be arbitrary integers such that 0 < m < n -1 3 1 and m < k < min{2m, n -1). Then there exists a point set Xk,, in Euclidean n-space IR" such that (i) pdimX& = m and dimXk,, = k, (ii) pdim(X& n H) = m
Maehara, H., The intersection graph of random sets, Discrete Mathematics 87 (1991) 97-104. Let X,, i=l,..., n, be n = n(N) independent random subsets of {1,2,. . , N}, each selected at random out of the 2N subsets. We present some asymptotic (N-tm) properties of {Xi}, e.g. if r~/2~'~--+ m then {Xi}