The generic dimension of the first derived system
Any -dimensional subbundle of the cotangent bundle on an -dimensional manifold partitions into subsets ( being the minimum of and , the combinations of things taken 2 at a time). is the set on which the first derived systems of the subbundle has codimension . In this paper we prove the following: Theorem. Let and let be a generic -dimensional subbundle of the cotangent bundle of an -dimensional manifold . The codimension of is given...