Accession Number : AD0746049

Title :   Elementary Strong Maps and Transversal Geometries,

Corporate Author : NORTH CAROLINA UNIV CHAPEL HILL DEPT OF STATISTICS

Personal Author(s) : Dowling,Thomas A. ; Kelly,Douglas G.

Report Date : APR 1972

Pagination or Media Count : 26

Abstract : Let the mapping H to G be a strong map between two combinatorial geometries on the same set X. The rank function, flats, and independent sets of G are characterized in terms of a factorization of the mapping H to G into elementary strong maps. When H is the free geometry on X, these results lead to a representation of G as the basis intersection of a family of transversal geometries, and dually, as the basis interaction of a family of principal geometries. (Author)

Descriptors :   (*GEOMETRY, *COMBINATORIAL ANALYSIS), MAPPING(TRANSFORMATIONS), SET THEORY, PERMUTATIONS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE