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Table of contents for this issue | Previous article | Next article Sullivan, Dennis Infinitesimal computations in topology. Publications Mathématiques de l'IHÉS, 47 (1977), p. 269-331 Full text djvu | pdf | Reviews MR 58 #31119 | Zbl 0374.57002 | 39 citations in Numdam stable URL: http://www.numdam.org/item?id=PMIHES_1977__47__269_0 Bibliography [BD] R. BODY and R. DOUGLAS, Homotopy types within a rational homotopy type, Topology, 13 ( [B-HC] A. BOREL and HARISH-CHANDRA, Arithmetic Subgroups of Algebraic Groups, Ann. of Math., 75 ( [Br] Wm. BROWDER, Surgery on simply connected manifolds, Springer Ergebnisse Series, [BS] R. BODY and D. SULLIVAN, Zariski Dynamics of a Homotopy Type, to be submitted to Topology (preprint, UCSD La Jolla, California). [Bu] O. BURLET, Rational Homotopy of oriented Thom Spaces, Proceedings of the Advanced Study Institute on algebraic topology Aarhus ( [C] Elie CARTAN, Sur les nombres de Betti des espaces de groupes clos, C. R. Acad. Sci., Paris, 187 ( [C] Henri CARTAN, La transgression dans un groupe de Lie et dans un espace fibré principal, Notions d'algèbre différentielle: application aux groupes de Lie et aux variétés où opère un groupe de Lie, Colloque de topologie (espaces fibrés), 58-71, Bruxelles, [D] G. DE RHAM, Intégrales multiples et Analysis Situs, C. R. Acad. Sci. Paris, 188 ( [Gr] M. GROMOV, Homotopical effects of Dilatation, submitted to Journal of Diff. Geom. Zbl 0427.58010 [H] Guy HIRSCH, Sur la structure multiplicative de l'anneau de cohomologie d'un espace fibré, C. R. Acad. Sci. Paris, 230 ( [H-V] M. C. HEYDEMANN and M. VIGUÉ, Application de la théorie des polynômes de Hilbert-Samuel à l'étude de certaines algèbres différentielles, C. R. Acad. Sci. Paris, 278 ( [K] Daniel M. KAN, A Combinatorial definition of homotopy groups, Annals of Math., 67 ( [KM] M. KERVAIRE and J. MILNOR, Groups of homotopy spheres I, Ann. of Math., 77 ( [KS] R. C. KIRBY and L. C. SIEBENMANN, On the triangulation of manifolds and the Hauptvermutung, Bull. Amer. Math. Soc., 75 ( Article | MR 39 #3500 | Zbl 0189.54701 [M1] J. MILNOR, Geometric realization of a semi-simplicial complex, Ann. of Math., 65 ( [M2] J. MILNOR, A procedure for killing the homotopy groups of a differentiable manifold, Proc. Sympos. Pure Math. III, Amer. Math. Soc., [Mo] G. D. MOSTOW, Fully Reducible Subgroups of Algebraic Groups, Amer. J. Math., 78 ( [N] S. P. NOVIKOV, Homotopically Equivalent Smooth Manifolds, AMS Translations (2), 48 ( [P] Henri POINCARÉ, Analysis situs, Oeuvres, t. VI, 193-288, also Journal de l'Ecole Polytechnique (2), 1 ( [Q] Daniel QUILLEN, Rational Homotopy Theory, Ann. of Math., 90 ( [Se1] Jean-Pierre SERRE, Homologie singulière des espaces fibrés. Applications, Ann. of Math., 54 ( [Se2] Jean-Pierre SERRE, Cohomologie galoisienne, Lecture Notes in Math., n° 3, Berlin, Springer, [St] R. E. STONG, Relations among characteristic Numbers I, Topology, 4 ( [Su1] Dennis SULLIVAN, Differential forms and the topology of manifolds, Manifolds-Tokyo ( [Su2] Dennis SULLIVAN, Genetics of Homotopy Theory and the Adams Conjecture, Annals of Math., 100 ( [Su3] Dennis SULLIVAN, Triangulating homotopy equivalences, Thesis, Princeton University ( [Su4] Dennis SULLIVAN, Geometric periodicity and the invariants of manifolds, Manifolds-Amsterdam ( [Su5] Dennis SULLIVAN, On the intersection ring of compact three manifolds, Topology, 14 ( [Su6] Dennis SULLIVAN, Inside and Outside manifolds, Proc. Intern. Cong. of Math., Vancouver, [Su7] Dennis SULLIVAN, Galois symmetry in manifold theory at the primes, Actes du Congrès intern. des Math., Nice ( [T] René THOM, Les classes caractéristiques de Pontryagin des variétés triangulées, Symposium internacional de topologia algebraica, 54-67, Mexico, [TC] René THOM, Opérations en cohomologie réelle, Séminaire H. Cartan, Numdam [VE] N. T. VAN EST, A generalization of the Cartan Leray spectral sequence, Proc. Koninkl. Ned. Akad., série A, [Wa] C. T. C. WALL, Surgery on compact manifolds, Academic Press, [We] A. WEIL, Variétés Kähleriennes, Paris, Hermann, [Wh1] J. H. C. WHITEHEAD, Certain equations in the algebra of a semi-simple infinitesimal group, Math. works, vol. I, 291-308 (see also The works of J. H. C. Whitehead by John MILNOR, ibid., XXII-XXXIII). [Wh2] J. H. C. WHITEHEAD, An expression of the Hopf invariant as an integral, Proc. Nat. Acad. Sci. U.S.A., 33 ( [W] H. WHITNEY, Geometric Integration Theory, Princeton University Press, [Wu] WU WEN TSÜN, Theory of I* Functor in Algebraic Topology, Scientia Sinica, Vol. XVIII and Vol. XII. Zbl 0376.55014 [DS] P. DELIGNE and D. SULLIVAN, Fibrés vectoriels complexes à groupe structural discret, C. R. Acad. Sc. Paris, 281 ( [DGMS] P. DELIGNE, P. GRIFFITHS, J. MORGAN, D. SULLIVAN, The real homotopy of Kaehler manifolds, Invent. Math., 29 ( [SV] D. SULLIVAN, M. VIGUÉ, The homology theory of the closed geodesic problem, Journal of Diff. Geom., 11 ( |
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