Infinitesimal computations in topology
Dennis Sullivan (1977)
Publications Mathématiques de l'IHÉS
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Dennis Sullivan (1977)
Publications Mathématiques de l'IHÉS
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Félix, Yves, Tanré, Daniel (2005)
Algebraic & Geometric Topology
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S. Halperin (1983)
Mémoires de la Société Mathématique de France
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John W. Morgan (1975-1976)
Séminaire Bourbaki
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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.
W. Meier (1980)
Commentarii mathematici Helvetici
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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.