Stratification Theory

David Trotman ()
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David Trotman: Aix Marseille Univ., CNRS, Institut Mathématique de Marseille

Chapter Chapter 4 in Handbook of Geometry and Topology of Singularities I, 2020, pp 243-273 from Springer

Abstract: 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.

Date: 2020
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DOI: 10.1007/978-3-030-53061-7_4

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