In this paper we shall prove that two basic theorems of singularity theory, the versatility theorem and the finite determinacy theorem, are valid for a large class of equivalence relations on germs of mappings.
Complex torsion Definition of higher FR-torsion Properties of higher FR-torsion The framing principle Proof of the framing principle Applications of the framing principle The stability theorem Bibliography.
These notes give a fairly elementary introduction to the local theory of differentiable mappings. Sard's Theorem and the Preparation Theorem of Malgrange and Mather are the basic tools and these are proved first. There follows a number of illustrations including: the local part …
These notes give a fairly elementary introduction to the local theory of differentiable mappings. Sard's Theorem and the Preparation Theorem of Malgrange and Mather are the basic tools and these are proved first. There follows a number of illustrations including: the local part …