The rational Lusternik-Schnirelmann category of products and of Poincaré duality complexes

DOI10.1016/S0040-9383(97)00061-XzbMath0897.55001MaRDI QIDQ1382169

Jean-Michel Lemaire, Yves Félix, Stephen Halperin

Publication date: 12 October 1998

Published in: Topology (Search for Journal in Brave)

zbMATH Keywords

Lyusternik-Shnirel'man categoryToomer's invariant

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) Poincaré duality spaces (57P10)

Related Items (18)

The rational LS-category of $k$-trivial fibrations ⋮ Rational homotopy of the (homotopy) fixed point sets of circle actions ⋮ Bounding the rational LS-category of certain spaces via the Hilbert function. ⋮ A new lower bound for LS-category ⋮ Pre-c-symplectic condition for the product of odd-spheres ⋮ Rational methods applied to sectional category and topological complexity ⋮ Estimating the rational LS-category of elliptic spaces ⋮ Old and new categorical invariants of manifolds ⋮ Rational topological complexity ⋮ The product formula for Lusternik-Schnirelmann category ⋮ A minimum dimensional counterexample to Ganea's conjecture ⋮ Rational approximations of sectional category and Poincaré duality ⋮ Module sectional category of products ⋮ Fibrewise construction applied to Ljusternik-Schnirelman category ⋮ Computing the Sullivan Milnor-Moore S. S. and the rational LS category of certain spaces ⋮ A formula for the rational LS-category of certain spaces ⋮ A mapping theorem for topological complexity ⋮ Explicit formulae for the rational L-S category of some homogeneous spaces

This page was built for publication: The rational Lusternik-Schnirelmann category of products and of Poincaré duality complexes