In this paper, we present a particularly simple and direct proof that the set of noncontact-sufficient (K-sufficient) germs are of infinite codimension. Our proof gives, for each k, an integer r with the property that almost all r-jets over any k-jet z is K-sufficient. Similar results are obtained for A or right-left equivalence when the source and target dimensions (n, p) are (2, 2) and (2, 3).
|Journal||Proceedings of the American Mathematical Society|
|Publication status||Published - 1992|