Thompson′s Characterization of Characters and Sets of Primes
✍ Scribed by W.F. Reynolds
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 235 KB
- Volume
- 156
- Category
- Article
- ISSN
- 0021-8693
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📜 SIMILAR VOLUMES
## Abstract The uniqueness up to translation of the characterization of random compact sets in Euclidean space by their dilation volumes is shown. The unique correspondence is shown to be a homeomorphism with respect to suitable topologies. If set differences of volume zero are neglected, dilations
For fixed s, n, k, and t, let I s (n, k, t) denote the set of all such families. A family A # I s (n, k, t) is said to be maximal if it is not properly contained in any other family in I s (n, k, t). We show that for fixed s, k, t, there is an integer n 0 =n 0 (k, s, t), for which the maximal famili