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Stratification Theory

In: Handbook of Geometry and Topology of Singularities I

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  • David Trotman

    (Aix Marseille Univ., CNRS, Institut Mathématique de Marseille)

Abstract

This is a survey of stratification theory in the differentiable category from its beginnings with Whitney, Thom and Mather until the present day. We concentrate mainly on the properties of C ∞ stratified sets and of stratifications of subanalytic or definable sets, with some reference to stratifications of complex analytic sets. Brief mention is made of the theory of stratified mappings.

Suggested Citation

  • David Trotman, 2020. "Stratification Theory," Springer Books, in: José Luis Cisneros Molina & Dũng Tráng Lê & José Seade (ed.), Handbook of Geometry and Topology of Singularities I, chapter 0, pages 243-273, Springer.
  • Handle: RePEc:spr:sprchp:978-3-030-53061-7_4
    DOI: 10.1007/978-3-030-53061-7_4
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