Stable mappings and their singularities / M. Golubitsky, V. Guillemin

Auteur principal : Golubitsky, Martin, 1945-, AuteurCo-auteur : Guillemin, Victor, 1937-, AuteurType de document : Livre numériqueCollection : Graduate texts in mathematics, 14Langue : anglais.Éditeur : New York : Springer, 1973ISBN: 9781461579045.ISSN: 0072-5285.Sujet MSC : 58C25, Global analysis, analysis on manifolds, Differentiable maps on manifolds
58C20, Global analysis, analysis on manifolds, Differentiation theory (Gateaux, Fréchet, etc.) on manifolds
57R45, Manifolds and cell complexes, Singularities of differentiable mappings in differential topology
57R70, Manifolds and cell complexes, Critical points and critical submanifolds in differential topologyEn-ligne : Numir | Springerlink | Zentralblatt | MathSciNet
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This book is a textbook in contemporary theory of singularities of stable smooth mappings. The first chapters are concerned with the necessary preliminaries: the basic concepts of the theory of manifolds, Sard's theorem and the Malgrange preparation theorem. Further chapters deal with more special questions of the theory of singularities: here we find accounts of Thom's transversality theorem, Morse theory, Mather's theorem on the equivalence of infinitesimal stability and stability, and also results of Mather, Thom, Boardman, Morin and Levine on the classification and canonical forms of singularities. (MathSciNet)

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