Proceedings of Liverpool Singularities Symposium I University of Liverpool 196970 Lecture Notes in Mathematics

Singularities of differentiable mappings....Pages 1-21 II Singularities of mappings....Pages 22-57 III Equivalence and stability....Pages 58-89 Introduction to the preparation theorem....Pages 90-96 A proof of the malgrange preparation theorem....Pages 97-105 Whitney fields and the malgrange-mather preparation theorem....Pages 106-115 On nirenberg's proof of malgrange's preparation theorem....Pages 116-120 Sur Le Théorème De Préparation Différentiable....Pages 121-132 Stratified sets: A survey....Pages 133-140 The ratio test for analytic Whitney stratifications....Pages 141-149 Thom's cell decomposition as a stratified set....Pages 150-152 Stratified sets and morphisms: Local models....Pages 153-164 Combinatorial invariants of analytic spaces....Pages 165-177 Lectures on C ∞ -stability and classification....Pages 178-206 Stability of C ∞ mappings: VI the nice dimensions....Pages 207-253 A converse of the Kuiper-Kuo theorem....Pages 254-261 Remarks on finitely determined analytic germs....Pages 262-270 Nondegenerate critical points of deficiency one....Pages 271-281 Maps with O-dimensional critical set....Pages 282-285 Simple singularities of maps....Pages 286-307 Todd's canonical classes....Pages 308-312 Le Calcul de la Classe de Cohomologie Entiere Duale a ∑ −k ....Pages 313-315 Singularities of vector bundle maps....Pages 316-318