Categories equivalent to the category of rational H-spaces.
Characteristic zero loop space homology for certain two-cones
Given a principal ideal domain of characteristic zero, containing 1/2, and a two-cone of appropriate connectedness and dimension, we present a sufficient algebraic condition, in terms of Adams-Hilton models, for the Hopf algebra to be isomorphic with the universal enveloping algebra of some -free graded Lie algebra; as usual, stands for free part, for homology, and for the Moore loop space functor.
Cohomologically generic 2-complexes and 3-dimensional Poincaré complexes.
Cohomologically Kähler manifolds with no Kähler metrics.
Cohomology -algebra and rational homotopy type
In the rational cohomology of a 1-connected space a structure of -algebra is constructed and it is shown that this object determines the rational homotopy type.
Cohomology of some graded differential algebras
We study cohomology algebras of graded differential algebras which are models for Hochschild homology of some classes of topological spaces (e.g. homogeneous spaces of compact Lie groups). Explicit formulae are obtained. Some applications to cyclic homology are given.
Componentwise injective models of functors to DGAs
The aim of this paper is to present a starting point for proving existence of injective minimal models (cf. [8]) for some systems of complete differential graded algebras.
Contributions of rational homotopy theory to global problems in geometry