On the number of critical submanifolds of a function on a manifold

DOI10.1007/BF01061362zbMath0821.58009MaRDI QIDQ1345001

O. P. Bondar'

Publication date: 20 March 1995

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Ljusternik-Schnirelmann categorycritical submanifoldscircular category

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)

Related Items (2)

On the number of critical submanifolds of a function on a manifold ⋮ Generalized (co)homology length of a manifold and functions with singular submanifolds

Cites Work

• Exact circular Morse functions, Morse-type inequalities and integrals of Hamiltonian systems
• Foliated round surgery of codimension-one foliated manifolds
• Round handles and non-singular Morse-Smale flows
• Existence of codimension-one foliations
• The periodic structure of non-singular Morse-Smale flows
• Non-singular Morse-Smale flows on 3-dimensional manifolds
• On the number of critical submanifolds of a function on a manifold
• The minimal number of critical points of a function on a compact manifold and the Lusternik-Schnirelman category
• Unnamed Item
• Unnamed Item

This page was built for publication: On the number of critical submanifolds of a function on a manifold