Date of Award

6-1957

Degree Type

Dissertation

Degree Name

Doctor of Philosophy

Major

Mathematics

Major Professor

Wallace Givens

Committee Members

O. M. Harrold, W. E. Deeds, F. A. Fiskers

Abstract

Introduction: Von Newmann [8]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.

Files over 3MB may be slow to open. For best results, right-click and select "save as..."

Included in

Mathematics Commons

Share

COinS