The Space of Framed Functions

DOI10.2307/2000654zbMath0624.57026OpenAlexW4235482143MaRDI QIDQ3025890

Kiyoshi Igusa

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000654

zbMATH Keywords

jet bundlesMorse function\(A_ k\)- singularitygeneralized Morse functionspace of framed functions

Mathematics Subject Classification ID

Surgery and handlebodies (57R65) Singularities of differentiable mappings in differential topology (57R45) Isotopy in differential topology (57R52) Manifolds of mappings (58D15)

Related Items (14)

Combinatorial Miller-Morita-Mumford classes and Witten cycles ⋮ Thurston’s fragmentation and c-principles ⋮ Families of diffeomorphisms and concordances detected by trivalent graphs ⋮ A Legendrian Turaev torsion via generating families ⋮ The space of metrics of positive scalar curvature ⋮ Exotic smooth structures on topological fiber bundles II ⋮ The simplification of singularities of Lagrangian and Legendrian fronts ⋮ The Cobordism hypothesis ⋮ Three applications of delooping to \(h\)-principles ⋮ Metrics of positive scalar curvature and generalised Morse functions, part I ⋮ C\({}^ 1\) local parametrized Morse theory ⋮ Real Springer fibers and odd arc algebras ⋮ Metrics of positive scalar curvature and generalised Morse functions, Part II ⋮ Topology of spaces of functions without compound singularities

Cites Work

• The stability theorem for smooth pseudoisotopies
• Higher singularities of smooth functions are unnecessary
• On the homotopy type of the space of generalized Morse functions
• La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie
• Three dimensional pictures for Thom's parabolic umbilic
• Differential Topology

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