Accession Number:
AD0733056
Title:
Interpolation Systems.
Descriptive Note:
Technical rept.,
Corporate Author:
IOWA UNIV IOWA CITY DEPT OF MATHEMATICS
Personal Author(s):
Report Date:
1971-10-01
Pagination or Media Count:
16.0
Abstract:
Let A be a finite set, let P be a property associated with subsets of A and let Q be a binary relation defined on the power set of A. A partition Pi the setA1,A2,...,Ak of A, of order k, is complete if every block Ai of pi has property P and every pair Ai,Aj, of distinct blocks of pi stand in the relation Q. In this paper the authors determine conditions on P and Q which will guarantee that if a set A has complete partitions of orders m and n, then for every k, mkn, A has a complete partition of order k. Author
Descriptors:
Subject Categories:
- Theoretical Mathematics