Stability of mappings, IV. Classification of stable germs by -algebras
John N. Mather (1969)
Publications Mathématiques de l'IHÉS
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Displaying similar documents to “The structure of the cut locus in dimension less than or equal to six”
Stability of mappings, IV. Classification of stable germs by -algebras
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Catastrophes and partial differential equations
John Guckenheimer (1973)
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This paper outlines the manner in which Thom’s theory of catastrophes fits into the Hamilton-Jacobi theory of partial differential equations. The representation of solutions of a first order partial differential equation as lagrangian manifolds allows one to study the local structure of their singularities. The structure of generic singularities is closely related to Thom’s concept of the elementary catastrophe associated to a singularity. Three concepts of the stability of a singularity...
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S. Smale (1963)
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On Ω-stability and structural stability of endomorphisms satisfying Axiom A
Feliks Przytycki (1977)
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Second-order sufficient condition for -stable functions
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The aim of our article is to present a proof of the existence of local minimizer in the classical optimality problem without constraints under weaker assumptions in comparisons with common statements of the result. In addition we will provide rather elementary and self-contained proof of that result.
Global stability for diagrams of differentiable applications
Luis Antonio Favaro, C. M. Mendes (1986)
Annales de l'institut Fourier
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In this paper, we give some examples which point to the non-existence of -global stable diagrams , compact. If : is fixed we define the -equivalence for maps and the corresponding -stability. The globalization procedure works and we can compare the -stability, -infinitesimal stability, and -homotopical stability. Also we give some characterization theorems for lower dimensions.