Journal of Singularities
volume 2 (2010), 19-50
Proceedings of Singularities in Aarhus, August 2009
Received: 23 November 2009.
An r-jet z in Jr(2,2) is A0-sufficient in E[r](2,2) if every Cr realization of z is topologically right-left equivalent to z. We give sufficient conditions for A0-sufficiency in E[r](2,2). For a certain class of jets, we prove that our sufficient conditions are also necessary. Finally, we use the techniques developed in the course of the proofs of these results to give sufficient conditions for a 1-parameter family of Cr plane-to-plane map-germs to be topologically trivial.
Sufficiency of jets, finite determinacy, jets from the plane to the plane
Mathematical Subject Classification:
14B05, 58A20 (primary), 58A20 (secondary)
|Hans Brodersen||Olav Skutlaberg|
|Department of Mathematics, University of Oslo||Department of Mathematics, University of Oslo|
|P.B. 1053, 0316 Oslo||P.B. 1053, 0316 Oslo|
|email: email@example.com||email: firstname.lastname@example.org|