Stratification theory

Théorie des Stratifications

David Trotman (1)

1 I2M - Institut de Mathématiques de Marseille

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.

Domaines: Topologie algébrique [math.AT]; Topologie géométrique [math.GT]; Géométrie algébrique [math.AG]; Variables complexes [math.CV]; Géométrie différentielle [math.DG]

David Trotman. Stratification theory. Cisneros-Molina José Luis, Dũng Tráng Lê, Seade José (Eds.). Handbook of Geometry and Topology of Singularities I, 2020. ⟨hal-03186972⟩