AbstractOur goal in this paper is to prove that, under appropriate hypotheses, the sum of the Betti numbers of a 1-connected elliptic space is greater or equal to the dimension of its Q vector space of homotopy. The paper concludes with some examples for which the inequality is strict
AbstractLet (ΛV,d) be the Sullivan model of a pure elliptic space S. We give an algorithm, based on ...
AbstractWe give an explicit formula for a cycle representing a basis for the cohomology class of hig...
AbstractIf X is a simply connected space of finite type, then the rational homotopy groups of the ba...
AbstractOur goal in this paper is to prove that, under appropriate hypotheses, the sum of the Betti ...
Our goal in this paper is to prove that, under appropriate hypotheses, the sum of the Betti numbers ...
AbstractLet S a 1-connected space such that π∗(S)⊗Q and H∗(S;Q) are both finite-dimensional. Then, u...
For any continuous map f:X→Y and y∈Y the preimage f^{-1}(y) is a subset of X and we can consider the...
We give a lower bound for the rational LS-category of certain spaces, including the coformal ellipti...
We give a lower bound for the LS category of a formal elliptic space in terms of its rational cohomo...
This chapter is a short introduction to Sullivan models. In particular, we find the Sullivan model o...
We give a lower bound for the LS category of a formal elliptic space in terms of its rational cohomo...
We prove the toral rank conjecture of Halperin in some new cases. Our results apply to certain ellip...
27 pages. A chapter in the book "Free loop space in geometry and Topology" to appear in IRMA Lect. M...
AbstractLet X be a finite simply connected CW complex of dimension n. The loop space homology H∗(ΩX;...
International audienceWe prove some geometric and topological properties for unbounded domains of th...
AbstractLet (ΛV,d) be the Sullivan model of a pure elliptic space S. We give an algorithm, based on ...
AbstractWe give an explicit formula for a cycle representing a basis for the cohomology class of hig...
AbstractIf X is a simply connected space of finite type, then the rational homotopy groups of the ba...
AbstractOur goal in this paper is to prove that, under appropriate hypotheses, the sum of the Betti ...
Our goal in this paper is to prove that, under appropriate hypotheses, the sum of the Betti numbers ...
AbstractLet S a 1-connected space such that π∗(S)⊗Q and H∗(S;Q) are both finite-dimensional. Then, u...
For any continuous map f:X→Y and y∈Y the preimage f^{-1}(y) is a subset of X and we can consider the...
We give a lower bound for the rational LS-category of certain spaces, including the coformal ellipti...
We give a lower bound for the LS category of a formal elliptic space in terms of its rational cohomo...
This chapter is a short introduction to Sullivan models. In particular, we find the Sullivan model o...
We give a lower bound for the LS category of a formal elliptic space in terms of its rational cohomo...
We prove the toral rank conjecture of Halperin in some new cases. Our results apply to certain ellip...
27 pages. A chapter in the book "Free loop space in geometry and Topology" to appear in IRMA Lect. M...
AbstractLet X be a finite simply connected CW complex of dimension n. The loop space homology H∗(ΩX;...
International audienceWe prove some geometric and topological properties for unbounded domains of th...
AbstractLet (ΛV,d) be the Sullivan model of a pure elliptic space S. We give an algorithm, based on ...
AbstractWe give an explicit formula for a cycle representing a basis for the cohomology class of hig...
AbstractIf X is a simply connected space of finite type, then the rational homotopy groups of the ba...
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