Vigue-Poirrier, Micheline Dans le fibre de l’espace des lacets libres, la fibre n’est pas, en général, totalement non cohomologue à zéro. (French) Zbl 0505.55006 Math. Z. 181, 537-542 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 6 Documents MSC: 55P35 Loop spaces 55P62 Rational homotopy theory 55P60 Localization and completion in homotopy theory 53C22 Geodesics in global differential geometry Keywords:Sullivan’s models; Halperin-Stasheff models of a topological space; 1- connected pointed space, whose rational cohomology is of finite type; space of free loops; space of based loops PDF BibTeX XML Cite \textit{M. Vigue-Poirrier}, Math. Z. 181, 537--542 (1982; Zbl 0505.55006) Full Text: DOI EuDML References: [1] Gromov, M.: Homotopical effects of dilatation. J. Differential Geometry13, 303-310 (1978) · Zbl 0427.58010 [2] Grove, K., Halperin, S., Vigué-Poirrier, M.: The rational homotopy theory of certain path spaces with applications to geodesics. Acta Math.140, 277-303 (1978) · Zbl 0421.58007 · doi:10.1007/BF02392310 [3] Halperin, S.: Lectures on mimimal models. Publications internes de l’U.E.R. de Mathématiques Pures de l’Université de Lille I, Vol.111 (1977) [4] Halperin, S.: Rational Fibrations, minimal models, and fibrings of homogeneous spaces. Trans. Amer. Math. Soc.244, 199-223 (1978) · Zbl 0387.55010 · doi:10.1090/S0002-9947-1978-0515558-4 [5] Halperin, S., Stasheff, J.: Obstructions to homotopy equivalence. Advances in Math.32, 233-279 (1979) · Zbl 0408.55009 · doi:10.1016/0001-8708(79)90043-4 [6] Smith, L.: On the characteristic zero cohomology of the free loop space. Amer. J. Math.103, 887-910 (1981) · Zbl 0475.55004 · doi:10.2307/2374251 [7] Sullivan, D.: Infinitesimal computations in topology. Inst. Hautes Etudes Sci. Publ. Math.47, (1977) · Zbl 0374.57002 [8] Sullivan, D., Vigué-Poirrier, M.: The homology theory of the closed geodesic problem. J. Differential Geometry11, 633-644 (1976) · Zbl 0361.53058 [9] Thomas, J.C.: Rational homotopy of Serre fibrations. Annales Inst. Fourier (Grenoble)31, 71-90 (1981) · Zbl 0446.55009 [10] Vigué-Poirrier, M.: Réalisation de morphismes donnés en cohomologie et suite spectrale d’Eilenberg-Moore. Trans. Amer. Math. Soc.265, 447-484 (1981) · Zbl 0474.55009 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.