Stability of \(C^ \infty\) mappings. III: Finitely determined map germs
From MaRDI portal
Publication:2528106
DOI10.1007/BF02698926zbMath0159.25001OpenAlexW2059473956MaRDI QIDQ2528106
Publication date: 1968
Published in: Publications Mathématiques (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=PMIHES_1968__35__127_0
Related Items
On vanishing inflection points of plane curves, Determinacy and unipotency, Structural stability of attractor–repellor endomorphisms with singularities, Whitney's umbrellas in stable perturbations of a map germ \((\mathbb R^n,0)\to (\mathbb R^{2n-1},0)\), A strong version of implicit function theorem, From singularity theory to finiteness of Walrasian equilibria, Equivalence and finite determinacy of mappings, Liftable vector fields over corank one multigerms, Partial standard bases as a tool for studying families of singularities, Perturbations of symmetric elliptic Hamiltonians of degree four, \(\mu\)-constant monodromy groups and marked singularities, The Newton filtration and \(d\)-determination of bifurcation problems related to \(C^{0}\) contact equivalence, Equivalences between isolated hypersurface singularities, Contact elements, contact correspondences, and contact invariants, Stability of equilibrium in a potential field, The trivial locus of an analytic map germ, Algorithms for group actions in arbitrary characteristic and a problem in singularity theory, Quantum extended crystal super PDEs, A note on the order of determination of a finitely determined germ, Pairs of Lie-type and large orbits of group actions on filtered modules: a characteristic-free approach to finite determinacy, Normal forms and unfoldings of singular strategy functions, Singularities determined by their discriminant, Unnamed Item, Finite determinacy of matrices and ideals, Finite determinacy of high codimension smooth function germs, On the determinacy of smooth map-germs, Conditions de Whitney et sections planes, Normal forms for singularities of pedal curves produced by non-singular dual curve germs in \(S^{n}\), Leading terms of Thom polynomials and \(J\)-images, Applications of the blowing-up construction and algebraic geometry to bifurcation problems, On equivalence of ideals of real global analytic functions and the 17th Hilbert problem, A splitting theorem for maps into \(R^ 2\), Chern characters and Hirzebruch-Riemann-Roch formula for matrix factorizations, An algebraic formula for the topological types of one parameter bifurcation diagrams, Topological sufficiency of smooth map-germs, Path formulation for multiparameter \(\mathbb D_3\)-equivariant bifurcation problems, Bifurcations and global stability of families of gradients, Relative infinite determinacy for map-germs, Families of functions dominated by distributions of C-classes of mappings, Finitely determined singularities of formal vector fields, Classification of isolated hypersurface singularities by their moduli algebras, Weak finite determinacy of relative map-germs, A reconsideration of the role of discontinuity in regional economic models, On variance of exponents for isolated surface singularities with modality \(\leqslant 2\), Integral closure of modules and Whitney equisingularity, \(\mathcal A\)-codimension and the vanishing topology of discriminants, Unnamed Item, Singularities of tangent lightcone map of a timelike surface in Minkowski 4-space, Timelike hypersurfaces in anti-de Sitter space from a contact viewpoint, Contact equivalence for Lagrangian manifolds, Singularities of envelopes of families of submanifolds in $\mathbb{R}^N$, On the Hilbert-Samuel partition of stable map-germs, Classifying singular Legendre curves by contactomorphisms, Stability of unfoldings in space and time, Polyedres de Newton et nombres de Milnor, Finite determinacy and polynomial normal forms for diffeomorphisms near a strongly 1-resonant fixed point, Relative finite determinacy and relative stability of function-germs, Singularities of vector fields on the plane, Nonexistence of homotopy equivalences which are \(C^{\infty}\) stable or of finite codimension, Characterizing singularities of varieties and of mappings, Applications of catastrophe theory to the physical sciences, On finite determinacy for matrices of power series, Extended crystal PDE's stability. I: The general theory, Extended crystal PDE'S stability, II: The extended crystal MHD-PDE'S, On deformations of maps and curve singularities, Cobordisms of maps with singularities of given class, Bi-Lipschitz \(\mathcal A\)-equivalence of \(\mathcal K\)-equivalent map-germs, Monodromy of isolated singularities of hypersurfaces, Modules of vector fields, differential forms and degenerations of differential systems, C\({}^ 1\) local parametrized Morse theory, Stability of \(C^ \infty\) mappings. IV: Classification of stable germs by R-algebras, Catastrophes and partial differential equations, Transformation of germs of differentiable functions through changes of local coordinates, Singularités de solutions d'équations aux dérivées partielles. (Singuarities of solutions of partial differential equations), La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie, The rise and fall of catastrophe theory applications in economics: was the baby thrown out with the bathwater?, Finite determinacy of non-isolated singularities, The preparation theorem on Banach spaces, On finite determinacy of formal vector fields, Conormal modules via primitive ideals, Simultaneous smoothness and simultaneous stability of a \(C^\infty\) strictly convex integrand and its dual, Topological properties of real simple germs, curves, and the nice dimensions n > p, Classification \(C^ \infty\) des équations de Pfaff complètement intégrables à singularité isolée, On canonical forms of singularities of \(C^\infty\) function germs of higher codimension, Finite determinacy of differential forms, Der Gauß-Manin-Zusammenhang isolierter Singularitäten von vollständigen Durchschnitten, On finite \(C^ k \)left determinacy, Equivalence of differentiable mappings and analytic mappings, On the local classification of smooth maps induced by Newton's method, Generalized splitting theorem for map-germs, Infinite determinacy of equivariant map-germs, Explicit iterative algorithms to reduce a univariate catastrophe to normal form, Killing divisor classes by algebraisation, Equivariant jets, Vector fields near a generic submanifold, Preparation theorems for matrix valued functions, Smooth normalization of a vector field near a semistable limit cycle, Mapping fibrations, Recognition of plane-to-plane map-germs, Singularities are determined by the cohomology of their cotangent complexes, Automatic classification of normal forms, Bifurcation of solutions to Hamiltonian boundary value problems, Noncommutative Mather-Yau theorem and its applications to Calabi-Yau algebras, Unnamed Item, Singularities and dualities of pedal curves in pseudo-hyperbolic and de Sitter space, Classification of (2,2)-stable unfoldings of map germs with codimensions ≤ 4, Introduction to the papers of R. Thom and J. Mather, Generic bifurcations of varieties, Generic bifurcations of varieties, On the estimates of the order of finitelya k -determined map-germs, A Numerical Characterization of Equisingularity for Map Germs from N-Space, (N≥3), to the Plane, Finite Determination on Algebraic Sets, An algebraic approach to the topological degree of a smooth map, Unnamed Item, Equimultiple deformations of isolated singularities, Deploiements Stables des Germes de Type Fini, et Determination Finie des Applications Differentiables, New proofs of some theorems on infinitely differentiable functions, A theory for imperfect bifurcation via singularity theory, Non-degenerate singularities of integrable dynamical systems
Cites Work
