Note on the rational cohomology of the function space of based maps.
Kotani, Yasusuke (2004)
Homology, Homotopy and Applications
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Kotani, Yasusuke (2004)
Homology, Homotopy and Applications
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Vigué-Poirrier, Micheline (2007)
Journal of Homotopy and Related Structures
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Toshihiro Yamaguchi (2000)
Bulletin de la Société Mathématique de France
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Barmak, Jonathan Ariel, Minian, Elias Gabriel (2007)
Journal of Homotopy and Related Structures
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Urtzi Buijs, Aniceto Murillo (2006)
Annales de l’institut Fourier
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Via the Bousfield-Gugenheim realization functor, and starting from the Brown-Szczarba model of a function space, we give a functorial framework to describe basic objects and maps concerning the rational homotopy type of function spaces and its path components.
Dupont, Nicolas, Hess, Kathryn (2002)
Homology, Homotopy and Applications
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Aleksy Tralle (1997)
Colloquium Mathematicae
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We are interested in the problem of describing compact solvmanifolds admitting symplectic and Kählerian structures. This was first considered in [3, 4] and [7]. These papers used the Hattori theorem concerning the cohomology of solvmanifolds hence the results obtained covered only the completely solvable case}. Our results do not use the assumption of complete solvability. We apply our methods to construct a new example of a compact symplectic non-Kählerian solvmanifold.
Saneblidze, S. (1997)
Georgian Mathematical Journal
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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.