Higher singularities of smooth functions are unnecessary

DOI10.2307/2006962zbMath0548.58005OpenAlexW1980173998MaRDI QIDQ799277

Kiyoshi Igusa

Publication date: 1984

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2006962

zbMATH Keywords

pseudoisotopyGromov-type theoremhigher singularities

Mathematics Subject Classification ID

Singularities of differentiable mappings in differential topology (57R45) Theory of singularities and catastrophe theory (58K99) Isotopy in differential topology (57R52) Differentiable maps on manifolds (58C25)

Related Items (16)

The Space of Framed Functions ⋮ DIRECTED EMBEDDINGS AND THE SIMPLIFICATION OF SINGULARITIES ⋮ Old and New Results on Density of Stable Mappings ⋮ Singularity theory and configuration space models of \(\Omega ^ nS^ n\) of non-connected spaces ⋮ Automorphisms of manifolds and algebraic K-theory. I ⋮ Fundamental groups of formal Legendrian and horizontal embedding spaces ⋮ Some algebraic properties of Cerf diagrams of one-parameter function families ⋮ The simplification of singularities of Lagrangian and Legendrian fronts ⋮ Three applications of delooping to \(h\)-principles ⋮ Spaces of jets without complicated singularities ⋮ Metrics of positive scalar curvature and generalised Morse functions, part I ⋮ C\({}^ 1\) local parametrized Morse theory ⋮ On the homotopy type of spaces of Morse functions on surfaces ⋮ The extra-nice dimensions ⋮ Metrics of positive scalar curvature and generalised Morse functions, Part II ⋮ Topology of spaces of functions without compound singularities

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