Concurrent normals to convex bodies and spaces of Morse functions

DOI10.1007/s00208-010-0629-9zbMath1242.52006OpenAlexW2001890188MaRDI QIDQ661307

John Pardon

Publication date: 10 February 2012

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-010-0629-9

zbMATH Keywords

retracthomotopy equivalenceMorse functionspoints of concurrence

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (2)

On the concurrent normals conjecture for convex bodies ⋮ A note on the concurrent normal conjecture

Cites Work

• Unnamed Item
• Unnamed Item
• Boundary regularity of maps with convex potentials. II
• Coordinate free Morse theory
• Korrektur zu: Existenz eines 6-Normalenpunktes in einem konvexen Körper
• Unsolved problems in geometry
• Double normals of convex bodies
• Points of infinitely many normals to convex surfaces.
• Stratified fibre bundles
• Existence of Four Concurrent Normals to a Smooth Closed Curve
• Existence of Four Concurrent Normals to a Smooth Closed Hypersurface of E n

This page was built for publication: Concurrent normals to convex bodies and spaces of Morse functions