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Rational homotopy of Serre fibrations. (English) Zbl 0446.55009


MSC:

55R05 Fiber spaces in algebraic topology
55P62 Rational homotopy theory
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References:

[1] [1] , Sur la cohomologie des espaces fibrés..., Ann. of Math., vol. 57, n° 1 (1953), 115-207. · Zbl 0052.40001
[2] [2] and , Impossibilité de fibrer... C.R.A.S., (1950), 2258 et 943-945. · Zbl 0039.19201
[3] [3] , , Minimal model in homotopy theory, Math. Ann., 225 (1977), 219-242. · Zbl 0322.55019
[4] [4] , La transgression dans un groupe de Lie... Colloque de Topologie, Masson, Paris, (1951) 51-71. · Zbl 0045.30701
[5] [5] et al., Connection curvative and cohomology, Vol. III, Academic Press (1976).
[6] [6] , Classification homotopique des espaces rationnels à cohomogie fixée, Nouveaux Mémoires de la S.M.F., (1980). · Zbl 0447.55010
[7] [7] and . — An arithmetic Characterization of the rational homotopy groups of certain spaces, Invent. Math., 53 (1979), 117-133. · Zbl 0396.55010
[8] [8] , Lecture notes on minimal models, Preprint 111, Université de Lille I, (1977).
[9] [9] , Rational fibration, minimal models..., Trans of the A.M.S., vol. 244 (1978), 199-223. · Zbl 0387.55010
[10] [10] , Finiteness in the minimal model of Sullivan, Trans. of the A.M.S., vol. 230 (1977), 173-199. · Zbl 0364.55014
[11] [11] and , Obstruction to homotopy equivalences, Advances in Math., 32 (1979), 233-279. · Zbl 0408.55009
[12] [12] , Homologie et cohomologie des algèbres de Lie, Bull. S.M.F., 78 (1950). · Zbl 0039.02901
[13] [13] , “Autopsie d”un meurtre“..., Ann. Sc. E.N.S. 4ème série, t. 1.1 (1978), 93-100.<ext-link ext-link-type=”zbl-item-id“>0382.55011<ext-link ext-link-type=”mr-item-id“>58 #18423<ext-link ext-link-type=”numdam-id”>ASENS_1978_4_11_1_93_0 · Zbl 0382.55011
[14] [14] , Formal and coformal spaces, Illinois Journal of Mathematics, vol. 22, Number 4 (1978), 565-580. · Zbl 0396.55011
[15] [15] , Homologie singulière des espaces fibrés, Ann. of Math., Vol. 54 (1951), 425-505. · Zbl 0045.26003
[16] [16] , Infinitesimal computation in topology, Publi. de l’I.H.E.S., n° 47 (1977). · Zbl 0374.57002
[17] [21] , Singularities of locally analytic processes (with applications in the study of finely holomorphic and finely harmonic functions) · Zbl 0478.60081
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