LS-category of classifying spaces.
Gatsinzi, J.B. (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Displaying similar documents to “A formula for the rational LS-category of certain spaces”
LS-category of classifying spaces.
The top cohomology class of certain spaces.
Aniceto Murillo (1991)
Extracta Mathematicae
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In this abstract we present an explicit formula for a cycle representing the top class of certain elliptic spaces, including the homogeneous spaces. For thet, we shall rely on the connection between Sullivan's theory of minimal models and Rational homotopy theory for which [3], [6] and [10] are standard references.
-space structure on pointed mapping spaces.
Félix, Yves, Tanré, Daniel (2005)
Algebraic & Geometric Topology
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On the evaluation map.
Aniceto Murillo (1990)
Extracta Mathematicae
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LS-category of classifying spaces. II.
Gatsinzi, J.-B. (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Rational homotopy of Serre fibrations
Jean-Claude Thomas (1981)
Annales de l'institut Fourier
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In rational homotopy theory, we show how the homotopy notion of pure fibration arises in a natural way. It can be proved that some fibrations, with homogeneous spaces as fibre are pure fibrations. Consequences of these results on the operation of a Lie group and the existence of Serre fibrations are given. We also examine various measures of rational triviality for a fibration and compare them with and whithout the hypothesis of pure fibration.
Elliptic spaces with the rational homotopy type of spheres.
Powell, Geoffrey M.L. (1997)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Categories equivalent to the category of rational H-spaces.
Martin Arkowitz (1989)
Manuscripta mathematica
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Formality of the function space of free maps into an elliptic space
Toshihiro Yamaguchi (2000)
Bulletin de la Société Mathématique de France
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