On the foundations of combinatorial theory : combinatorial geometries
Henry H. Crapo, Gian-Carlo Rota (Author)
This book defines the axiomatics of combinatorial geometry, describes a variety of geometric examples, and discusses the notion of a strong map between geometrics. This a brief presentation of coordinatization theory, a sketch of two important lines of future work--the 'critical problem' and matching theory. Combinatorial geometry, together with its order-theoretic counterpart, the geometric lattice, can serve to catalyze the whole field of combinatorial theory. A major aim of this preliminary edition is to present the theory in a form accessible to mathematicians working in disparate subjects
Print Book, English, 1970
The M.I.T. Press, Cambridge, Mass., 1970