RT Journal Article T1 Torus rational fibrations. A1 Muñoz, Vicente AB We study rational fibrations where the fibre is an r-dimensional torus and the base is a formal space. We make use of the Eilenberg{Moore Spectral Sequence to prove the Toral Rank Conjecture in some cases. PB Elsevier Science B.V. (North-Holland) SN 0022-4049 YR 1999 FD 1999 LK https://hdl.handle.net/20.500.14352/58467 UL https://hdl.handle.net/20.500.14352/58467 LA eng NO C. Allday, S. Halperin, Lie group actions on spaces of finite rank, Quart. J. Math. Oxford 28 (1978)63-76.M. Atiyah, I. Macdonald, Introduction to Commutative Algebra, Addison-Wesley, Reading, MA, 1969.Y. Felix, La dichotomie elliptique-hyperbolique en homotopie rationnelle, Asterisque 176 (1989).Y. Felix, D. Tanre, J-C. Thomas, Minimal models and geometry, preprint, 1993.P-P. Grivel, Formes differentielles et suites spectrales, Ann. Inst. Fourier 29 (1979) 17-37.S. Halperin, Finiteness in the minimal models of Sullivan, Trans. Amer. Math. Soc. 230 (1977) 173-199.S. Halperin, Rational brations, minimal models, and fiberings of homogeneous spaces, Trans. Amer.Math. Soc. 244 (1978) 199-224.S. Halperin, Rational homotopy and torus actions, in:Aspects of Topology, In Memory of Hugh Dowker,Lecture Notes Series, vol. 93, 1985, pp. 293-306.J. McCleary, User's Guide to Spectral Sequences,Mathematics Lecture Series, vol. 12, Publish or Perish, Berkeley, CA,1985.D. Tanre, Homotopie Rationnelle: Modeles de Chen,Quillen, Sullivan, Lecture Notes in Maths,vol. 1025,Springer,Berlin, 1983. NO Ministerio de Educacion y Cultura DS Docta Complutense RD 5 may 2024