Finiteness in the Minimal Models of Sullivan

From MaRDI portal
Publication:4139332

DOI10.2307/1997716zbMath0364.55014OpenAlexW4256621787MaRDI QIDQ4139332

Stephen Halperin

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/1997716




Related Items (72)

Rational fibrations, homogeneous spaces with positive Euler characteristics and JacobiansObstructions to nonnegative curvature and rational homotopy theoryThe ranks of the homotopy groups of a space of finite LS categorySOME NOTES ON THE ELLIPTICITY OF NILPOTENT SPACESA lower bound for the cohomological dimension of an elliptic spaceRational Fibrations, Minimal Models, and Fibrings of Homogeneous SpacesOn Hilali's conjecture related to Halperin'sMixed Hodge structures on homotopy groupsThe rational homotopy type of elliptic spaces up to cohomological dimension 8On the rational homotopy Lie algebra of spaces with finite dimensional rational cohomology and homotopyGorenstein spacesHopf algebras of polynomial growthLefschetz number and degree of a self-mapThe rational homotopy theory of certain path spaces with applications to geodesicsSullivan minimal models of classifying spaces for non-formal spaces of small rankHalperin’s conjecture in formal dimensions up to 20Rational homotopy of Serre fibrationsBounding the rational LS-category of certain spaces via the Hilbert function.A new lower bound for LS-categoryRational homotopy via Sullivan models and enriched Lie algebrasRational universal fibrations and flag manifoldsL-S category and homogeneous spacesOn a DGL-map between derivations of Sullivan minimal modelsRationally elliptic spaces with isomorphic cohomology algebras.Estimating the rational LS-category of elliptic spacesDensity and unique decomposition theorems for the lattice of cellular classesEquivariant cohomology of cohomogeneity one actionsEvery finite group is the group of self-homotopy equivalences of an elliptic spaceOn the toral rank conjecture and some consequencesUnnamed ItemClassification and characterization of rationally elliptic manifolds in low dimensionsRational cohomologies of classifying spaces for homogeneous spaces of small rankA function space model approach to the rational evaluation subgroupsThe rational homotopy of fixed point sets of torus actionsSmooth actions of Lie groups and Lie algebras on manifoldsLoop Spaces of Finite Complexes at Large PrimesThe top cohomology class of certain spacesCompact Kähler manifolds with elliptic homotopy typeCyclic maps in rational homotopy theoryThe rational homotopy Lie algebra of classifying spaces for formal two-stage spacesDecomposition Theorems in Rational Homotopy TheoryElliptic spacesHomotopically rigid Sullivan algebras and their applicationsIntrinsic Formality and Certain Types of AlgebrasAn arithmetic characterization of the rational homotopy groups of certain spacesThe Euler Characteristic as an Obstruction to Compact Lie Group ActionsSelf-closeness numbers of finite cell complexesPoincaré duality and resonance varietiesDistinct representatives, varieties and rational homotopyBasic Dual Homotopy Invariants of Riemannian FoliationsHomotopie rationnelle et croissance du nombre de géodésiques ferméesHomotopie rationnelle et croissance du nombre de géodésiques ferméesThe stable free rank of symmetry of products of spheresDimension globale et classe fondamentale d'un espace. (Global dimension and fundamental class of a space.)The homotopy Lie algebra for finite complexesContributions of rational homotopy theory to global problems in geometry\(G_{s,3}(C)\) is prime if \(n\) is oddFormality of the function space of free maps into an elliptic spaceThe homotopy fixed point set of Lie group actions on elliptic spacesClosed manifolds coming from Artinian complete intersectionsSome topological properties of Kaehler manifolds and homogeneous spacesRank of the fundamental group of any component of a function spaceElliptic isometries, condition (C) and proper mapsAlgèbre de Lie de dérivations de certaines algèbres puresSymplectic manifolds and formalityHomotopy Lie algebras and submanifoldsCyclic homology of formal spacesComputing the Sullivan Milnor-Moore S. S. and the rational LS category of certain spacesHochschild cohomology of certain Koszul Sullivan ExtensionsZero divisors in enveloping algebras of graded Lie algebrasRational relative toral rankExplicit formulae for the rational L-S category of some homogeneous spaces



Cites Work


This page was built for publication: Finiteness in the Minimal Models of Sullivan