Special generic maps and Gromoll filtration

DOI10.1007/s40863-023-00369-5MaRDI QIDQ6656140

Osamu Saeki

Publication date: 2 January 2025

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

homotopy sphereGromoll filtrationdefinite foldspecial generic map

Mathematics Subject Classification ID

Differentiable structures in differential topology (57R55) Singularities of differentiable mappings in differential topology (57R45) Global theory of singularities (58K30) Differentiable mappings in differential topology (57R35) Homotopy spheres, Poincaré conjecture (57R60)

Cites Work

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• Pinching and concordance theory
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• Differenzierbare Strukturen und Metriken positiver Krümmung auf Sphären
• La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie
• Groups of homotopy spheres. I
• Obstructions to the existence of fold maps
• Harmonic spinors and metrics of positive curvature via the Gromoll filtration and Toda brackets
• Special generic maps on open 4-manifolds
• ON SINGULARITIES OF FOLDING TYPE
• Diffeomorphisms of the 2-Sphere

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