Cone-length and Lusternik-Schnirelmann category

DOI10.1016/0040-9383(94)90037-XzbMath0811.55004OpenAlexW1989697736MaRDI QIDQ1317062

Octavian Cornea

Publication date: 2 May 1995

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-9383(94)90037-x

zbMATH Keywords

CW-complexesLusternik-Schnirelmann categorySullivan minimal modelGanea space1-connected rational spacescone-lengthGanea strong category

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Rational homotopy theory (55P62)

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Homotopical dynamics IV. Hopf invariants and Hamiltonian flows ⋮ \(A_{n}\) theory, L.S. category, and strong category ⋮ The fibre of an iterative adjunction of cells ⋮ Lusternik-Schnirelmann theory to topological complexity from \(A_{\infty}\)-view point ⋮ Q-topological complexity ⋮ Lusternik-Schnirelmann-categorical sections ⋮ Separated Lie models and the homotopy Lie algebra ⋮ Homotopy transfer and rational models for mapping spaces ⋮ Homotopy localization functor \(L_f\) with respect to maps \(f\) having a wedge of spheres as homotopy cofibre ⋮ On the Ganea strong category in proper homotopy ⋮ There is Just One Rational Cone-Length ⋮ Variation zum Konzept der Lusternik—Schnirelmann—Kategorie ⋮ \(H\)-space structure on pointed mapping spaces ⋮ Cone length of the exterior join ⋮ Nearly trivial homotopy classes between finite complexes ⋮ Embeddings up to homotopy of two-cones in euclidean space

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