On the local structure of a generic central set

Yosef Yomdin

Displaying similar documents to “On the local structure of a generic central set”

Smoothness and geometry of boundaries associated to skeletal structures I: sufficient conditions for smoothness

James Damon (2003)

Annales de l’institut Fourier

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We introduce a skeletal structure $(M, U)$ in $ℝ^{n + 1}$ , which is an $n$ - dimensional Whitney stratified set $M$ on which is defined a multivalued “radial vector field” $U$ . This is an extension of notion of the Blum medial axis of a region in $ℝ^{n + 1}$ with generic smooth boundary. For such a skeletal structure there is defined an “associated boundary” $ℬ$ . We introduce geometric invariants of the radial vector field $U$ on $M$ and a “radial flow” from $M$ to $ℬ$ . Together these allow us to provide sufficient numerical conditions...

The Hauptvermutung for $C^{\infty}$ homeomorphisms II. A proof valid for open 4-manifolds

M. G. Scharlemann, L. C. Siebenmann (1974)

Compositio Mathematica

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Local contractibility of spaces of homeomorphisms

David B. Gauld (1976)

Compositio Mathematica

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Expanding attractors

Robert F. Williams (1974)

Publications Mathématiques de l'IHÉS

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Good metric spaces without good parameterizations.

Stephen Semmes (1996)

Revista Matemática Iberoamericana

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A classical problem in geometric topology is to recognize when a topological space is a topological manifold. This paper addresses the question of when a metric space admits a quasisymmetric parametrization by providing examples of spaces with many Eucledian-like properties which are nonetheless substantially different from Euclidean geometry. These examples are geometrically self-similar versions of classical topologically self-similar examples from geometric topology, and they can...

Catastrophes and partial differential equations

John Guckenheimer (1973)

Annales de l'institut Fourier

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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...

Manifolds of smooth maps III : the principal bundle of embeddings of a non-compact smooth manifold

P. Michor (1980)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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Displaying similar documents to “On the local structure of a generic central set”

Smoothness and geometry of boundaries associated to skeletal structures I: sufficient conditions for smoothness

The Hauptvermutung for C ∞ homeomorphisms II. A proof valid for open 4-manifolds

Local contractibility of spaces of homeomorphisms

Expanding attractors

Good metric spaces without good parameterizations.

Catastrophes and partial differential equations

Manifolds of smooth maps III : the principal bundle of embeddings of a non-compact smooth manifold

The Hauptvermutung for $C^{\infty}$ homeomorphisms II. A proof valid for open 4-manifolds