Date of Award
Doctor of Philosophy
O. M. Harrold, W. E. Deeds, F. A. Fiskers
Introduction: Von Newmann 1 has discovered a class of geometries in which the undefined elements are subspaces and the undefined operations are meets and joins of subspaces. His axioms require that the system consisting of the set ℒ of subspaces together with the two operations form an irreducible, complete, complemented, modular lattice satisfying an additional dual pair of continuity of conditions.
Alexander, James Howard, "Approximately Finite Geometries and Their Coordinate Rings. " PhD diss., University of Tennessee, 1957.