Covering numbers of manifolds and critical points of a Morse function

DOI10.1007/BF02801465zbMath0711.57021MaRDI QIDQ923436

Alberto Cavicchioli

Publication date: 1990

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

critical points4-manifoldsLyusternik-Shnirel'man categorycovering numbershandle-decompositionMorse-numberMorse-theoryPoincaré-conjecture in dimension 3

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Critical points and critical submanifolds in differential topology (57R70)

Cites Work

• Minimal coverings of manifolds with balls
• On the structure of 5-manifolds
• The ball coverings of manifolds
• Lusternik-Schnirelmann category and strong category
• Spherical modifications and coverings by cells
• The minimal number of critical points of a function on a compact manifold and the Lusternik-Schnirelman category
• Morse Theory. (AM-51)
• Four-dimensional topology: an introduction
• Covering three-manifolds with open cells
• On the Lusternik-Schnirelmann category
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item