Maps of degree 1, Lusternik-Schnirelmann category, and critical points

DOI10.1016/j.topol.2023.108797arXiv2306.07942MaRDI QIDQ6177063

Deep Kundu, Yuli B. Rudyak

Publication date: 16 January 2024

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.07942

zbMATH Keywords

3-manifoldscritical pointsLusternik-Schnirelmann categorydegree of a map

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Degree, winding number (55M25) General geometric structures on low-dimensional manifolds (57M50) Critical points and critical submanifolds in differential topology (57R70) General topology of 3-manifolds (57K30)

Cites Work

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• Generalized Poincaré's conjecture in dimensions greater than four
• Lusternik-Schnirelmann category of 3-manifolds
• Maps of degree 1 and Lusternik-Schnirelmann category
• The minimal number of critical points of a function on a compact manifold and the Lusternik-Schnirelman category
• Morse Theory. (AM-51)
• On the Structure of Manifolds
• Recent progress on the Poincaré conjecture and the classification of 3-manifolds
• Introduction to homotopy theory

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