Rational L.-S. Category and Its Applications
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Publication:4746481
DOI10.2307/1999190zbMath0508.55004OpenAlexW4241717949MaRDI QIDQ4746481
Publication date: 1982
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1999190
rational Lusternik-Schnirelmann categorygraded Lie algebra of elliptic spacesrational Gottlieb subgroup
Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Loop spaces (55P35) Algebraic topology on manifolds and differential topology (57R19)
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Lower Bounds for the L.-S. Category of Products ⋮ Reversibility and classification of nilpotent centers ⋮ Homology of loop spaces of configuration spaces ⋮ Rational Approximations to L-S Category and a Conjecture of Ganea ⋮ Applications of Differential Graded Algebra Techniques in Commutative Algebra ⋮ The rational LS-category of $k$-trivial fibrations ⋮ The fibre of an iterative adjunction of cells ⋮ Exponential growth and an asymptotic formula for the ranks of homotopy groups of a finite 1-connected complex ⋮ Categorical sequences ⋮ Gorenstein spaces ⋮ Rationalized evaluation subgroups of a map. 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S. category of the total space in a fibration and \(k\)-monomorphisms ⋮ New Estimates for the Collapse of the Milnor-Moore Spectral Sequence over a Field ⋮ Connected neighbourhoods of Misiurewicz points ⋮ Homotopy Lie algebras and fundamental groups via deformation theory ⋮ L. S. catégorie et suite spectrale de Milnor-Moore. (Une nuit dans le train) ⋮ Rational topological complexity ⋮ A counter-example to a conjecture of Félix ⋮ The top cohomology class of certain spaces ⋮ L.S.-category in a model category ⋮ On the deviations of a \(\mathbb{Q}\)-algebra ⋮ Cyclic maps in rational homotopy theory ⋮ On the Betti numbers of the free loop space of a coformal space ⋮ Joins of DGA modules and sectional category ⋮ On the Rational Homotopy Lie Algebra of a Fixed Point Set of a Torus Action ⋮ Rational homotopy theory for non-simply connected spaces ⋮ There is Just One Rational Cone-Length ⋮ Le complexe de Koszul en algèbre et topologie. 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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 ⋮ On the Lusternik-Schnirelmann category of cochain algebras. ⋮ Explicit formulae for the rational L-S category of some homogeneous spaces ⋮ Catégorie de Lusternik-Schnirelmann et genre des $H\textunderscore 0$-espaces
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