Convexity, critical points, and connectivity radius

DOI10.1090/proc/14892zbMath1434.53045arXiv1910.02432OpenAlexW2982590710WikidataQ126862566 ScholiaQ126862566MaRDI QIDQ5212433

Mikhail G. Katz

Publication date: 29 January 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.02432

zbMATH Keywords

Morse theoryconvex setscritical point

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

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• Diameter-extremal subsets of spheres
• Curvature, diameter and Betti numbers
• A generalized sphere theorem

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