Elementary Strong Maps and Transversal Geometries,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1972
- Accession Number
- AD0746049
Entities
People
- Douglas G. Kelly
- Thomas A. Dowling
Organizations
- University of North Carolina at Chapel Hill