Thom’s Conjecture

Part of the Encyclopaedia of Mathematical Sciences book series (volume 5)


In the middle of the 1960s R. Thom, the first person to appreciate the value of H. Whitney’s theory of singularities for applications, undertook to apply it to problems of biology (namely, to embryology), and broadly to problems of morphogenesis in general.


Riemannian Manifold Phase Portrait Bifurcation Diagram Gradient System Catastrophe Theory 
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  1. 3.
    Mather’s (1971) classification of the simplest degeneracies of complete intersections, published at the same time, contains many errors, later corrected by M. Giusti (1977).Google Scholar
  2. 4.
    Apparently he had in view some sort of variant of combinatorial equivalence, never formulated to this day, intermediate between homeomorphism and diffeomorphism.Google Scholar
  3. 5.
    Strictly speaking, Vegter considered another equivalence relation (continuous dependence of the transforming homeomorphisms under discussion on the parameters has been proved only for values of the parameters distinct from zero).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  1. 1.Steklov Mathematical InstituteMoscowRussia

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