Sufficiency of jets

Jean-Jacques Gervais

Vol. 72 (1977), No. 2, 419–422

DOI: 10.2140/pjm.1977.72.419

Abstract

We give a necessary and sufficient condition for the C^∞-sufficiency of a jet: this generalizes and improves some results of J. N. Mather and J. C. Tougeron. Our result, given in terms of G-sufficiency which is a generalization of the ordinary sufficiency, can be applied to many cases.

Mathematical Subject Classification 2000

Primary: 58C25

Secondary: 57D45

Milestones

Received: 10 February 1977

Published: 1 October 1977