References
Allday, C., Halperin, S.: Lie group actions on spaces of finite rank, Quart. J. Math. (Oxford)29, 63–76 (1978)
Barge, J.: Structures différentiables sur les types d'homotopie rationelle simplement connexes, Thèse, Univ. de Paris Sud (Orsay), 1975
Bousfield, A.K., Gugenheim, V.K.A.M.: On PL de Rham theory and rational homotopy type, Memoirs A.M.S. 179, 1976
Cartan, H.: La transgression dans un groupe de Lie et dans un espace fibré principal. Colloque de topologie (espaces fibrés) pp. 57–71. Bruxelles (1950), Thone, Liège, Paris: Masson 1951
Greub, W., Halperin, S., Vanstone, J.R.: Connections, Curvature and Cohomology, Vol. III, New York: Academic Press 1976
Grosswald, E.: Reducible rational fractions of the type of Gaussian polynomials with only nonnegative coefficients, Canadian Math. Bull. in press (1979)
Hall, P.: On representatives of subsets, J. London Math. Soc.10, 26–30 (1935)
Halperin, S.: Lectures on minimal models, Publ. Internes de l'Univ. de Lille I, 111, 1977
Halperin, S.: Finiteness in the minimal models of Sullivan, Trans. Amer. Math. Soc.230, 173–199 (1977)
Halperin, S.: Rational fibrations, minimal models, Trans. Amer. Math. Soc. in press (1979)
Koszul, J.L.: Sur un type d'algebres différentielles en rapport avec la transgression, Colloque de Topologie (espaces fibrés) pp. 73–81. Bruxelles (1950), Thone, Liège; Paris: Masson MR 13, 109, 1951
Lehmann, D.: Théorie homotopique des formes différentielles, Astérisque,45, 1–102 (1977)
Quillen, D.G.: The spectrum of an equivariant cohomology ring, I, II. Ann. of Math.94, 549–602 (1971)
Reich, D.: On certain polynomials of Gaussian type, (preprint)
Sullivan, D.: Infinitesimal computations in topology, Publ. de l'I.H.E.S.,47, 269–331 (1978)
Zariski, O., Samuel, P.: Commutative algebra, Vol. I, Princeton, N.J.: Van Nostrand 1958
Zariski, O., Samuel, P.: Commutative algebra, Vol. II, Princeton, N.J.: Van Nostrand 1960
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Friedlander, J.B., Halperin, S. An arithmetic characterization of the rational homotopy groups of certain spaces. Invent Math 53, 117–133 (1979). https://doi.org/10.1007/BF01390029
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01390029