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

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE