Invariants of the Lusternik-Schnirelmann Type and the Topology of Critical Sets
From MaRDI portal
Publication:4727867
DOI10.2307/2000638zbMath0618.55003OpenAlexW4241738441MaRDI QIDQ4727867
Publication date: 1986
Full work available at URL: https://doi.org/10.2307/2000638
Palais-Smale condition\(C^ 1\)-Banach manifoldcritical set of a differential real functionLyusternik-Schnirelman category of a space
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 (42)
Morita Invariance of Equivariant Lusternik-Schnirelmann Category and Invariant Topological Complexity ⋮ Mountain pass theorem with infinite discrete symmetry ⋮ The genus and the category of configuration spaces ⋮ Lusternik-Schnirelmann category and minimal coverings with contractible sets ⋮ \(A_{n}\) theory, L.S. category, and strong category ⋮ Lusternik-Schnirelmann category and Hilbert cube manifolds ⋮ A general approach to the min-max principle ⋮ Amenable category and complexity ⋮ Categorical and contractible covers of polyhedra ⋮ Extensions of Ljusternik-Schnirelmann category theory to relative and equivariant theories with an application to an equivariant critical point theorem ⋮ A note on Hempel--McMillan coverings of 3-manifolds ⋮ Manifolds with \(S ^{1}\)-category 2 have cyclic fundamental groups ⋮ \(G\)-category versus orbifold category ⋮ \(S^{2}\)- and \(P^{2}\)-category of manifolds ⋮ Four Heidelberg topologists 1935--1996 ⋮ Configuration-like spaces and coincidences of maps on orbits ⋮ Higher dimensional manifolds with \(S ^{1}\)-category 2 ⋮ Amenable category of three-manifolds ⋮ Equivariant topological complexities ⋮ Sectional category of a class of maps ⋮ The equivariant category of proper \(G\)-spaces. ⋮ Categorical group invariants of 3-manifolds ⋮ Old and new categorical invariants of manifolds ⋮ Three-manifolds which can be covered by three open solid Klein bottles ⋮ On Fox's \(m\)-dimensional category and theorems of Bochner type ⋮ Non-compactness of the space of minimal hypersurfaces ⋮ Periodic solutions of symmetric autonomous Newtonian systems ⋮ L. S. category of the total space in a fibration and \(k\)-monomorphisms ⋮ Fundamental groups of manifolds with \(S^1\)-category 2 ⋮ Invariant topological complexity ⋮ Ganea and Whitehead definitions for the tangential Lusternik-Schnirelmann category of foliations ⋮ On the Ganea strong category in proper homotopy ⋮ Lusternik-Schnirelmann category, complements of skeleta and a theorem of Dranishnikov ⋮ The Lusternik-Schnirelmann category of a Lie groupoid ⋮ There is Just One Rational Cone-Length ⋮ The Generalized Lusternik-Schnirelmann Category of a Product Space ⋮ Variation zum Konzept der Lusternik—Schnirelmann—Kategorie ⋮ Critical orbits of symmetric functionals ⋮ Mixing categories ⋮ Homotopical properties of a class of nonsmooth functions ⋮ Coverings of 3-manifolds by open balls and two open solid tori ⋮ Relative LS categories and higher topological complexities of maps
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Minimal coverings of manifolds with balls
- On G-ANR's and their G-homotopy types
- A quick proof of Singhof's \(cat(M\times S^ 1)=cat(M)+1\) theorem
- On category, in the sense of Lusternik-Schnirelmann
- Morse theory and a non-linear generalization of the Dirichlet problem
- Homotopy theory of infinite dimensional manifolds
- A generalization of the homology and homotopy suspension
- Lusternik-Schnirelman theory on Banach manifolds
- Lusternik-Schnirelmann category and strong category
- Some examples for weak category and conilpotency
- Homotopietheorie
- Category and generalized Hopf invariants
- On suspensions and comultiplications
- Morse theory on Hilbert manifolds
- The Generalized Lusternik-Schnirelmann Category of a Product Space
- Equivariant Homotopy Theory and Milnor's Theorem
- Pull-Backs in Homotopy Theory
- Differential Topology
- A generalized Morse theory
- On the Lusternik-Schnirelmann category
This page was built for publication: Invariants of the Lusternik-Schnirelmann Type and the Topology of Critical Sets