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Theory of Singularities and its Applications
About this Title
V. I. Arnol′d, Editor
Publication: ADVSOV
Publication Year:
1990; Volume 1
ISBNs: 978-0-8218-4100-6 (print); 978-1-4704-4548-5 (online)
DOI: https://doi.org/10.1090/advsov/001
MathSciNet review: MR1089667
MSC: Primary 58-06; Secondary 00B15, 32Sxx, 58C27
Table of Contents
Front/Back Matter
Articles
- V. Arnold – Ten problems
- V. Vassiliev – Topology of complements to discriminants and loop spaces
- V. Vassiliev – Cohomology of knot spaces
- A. Givental – Nonlinear generalization of the Maslov index
- B. Khesin – Singularities of light hypersurfaces and structure of hyperbolicity sets for systems of partial differential equations
- I. Bogaevsky – Degree of smoothness for visible contours of convex hypersurfaces
- Yu. Baryshnikov – Real vanishing inflections and boundary singularities
- Yu. Baryshnikov – Indices for extremal embeddings of 1-complexes
- M. Kazarian – Bifurcation of flattenings and Schubert cells
- V. Goryunov – Projections of generic surfaces with boundaries
- V. Zakalyukin – Generating ideals of Lagrangian varieties
- A. Aleksandrov – Nonisolated hypersurface singularities
- V. Karpushkin – Structure of uniform estimates in partial phase deformation
- V. Kostov – On the stratification and singularities of the Stokes hypersurface of one- and two-parameter families of polynomials
- B. Shapiro and A. Vainshtein – Euler characteristics for links of Schubert cells in the space of complete flags
- V. Bakhtin – Weierstrass preparation theorem for finitely smooth modules
- A. Shoshitaishvili – Singularities for projections of integral manifolds with applications to control and observation problems