Chord diagrams in the classification of Morse-Smale flows on 2-manifolds
Leonid Plachta (1998)
Banach Center Publications
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Displaying similar documents to “Constructing generic smooth maps of a manifold into a surface with prescribed singular loci”
Chord diagrams in the classification of Morse-Smale flows on 2-manifolds
Multiple points of singular maps, Part II
András Szücs (1988)
Fundamenta Mathematicae
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Framed bicobordism
Paul Cherenack (1995)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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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...
Expanding attractors
Robert F. Williams (1974)
Publications Mathématiques de l'IHÉS
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Representations of the Whitehead manifold and Julia sets
Valentin Poénaru, Corrado Tanasi (1995)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Felix Klein's paper on real flexes vindicated
Felice Ronga (1998)
Banach Center Publications
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In a paper written in 1876 [4], Felix Klein gave a formula relating the number of real flexes of a generic real plane projective curve to the number of real bitangents at non-real points and the degree, which shows in particular that the number of real flexes cannot exceed one third of the total number of flexes. We show that Klein's arguments can be made rigorous using a little of the theory of singularities of maps, justifying in particular his resort to explicit examples. ...