Infinitesimal computations in topology
Publications Mathématiques de l'IHÉS (1977)
- Volume: 47, page 269-331
- ISSN: 0073-8301
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topSullivan, Dennis. "Infinitesimal computations in topology." Publications Mathématiques de l'IHÉS 47 (1977): 269-331. <http://eudml.org/doc/103948>.
@article{Sullivan1977,
author = {Sullivan, Dennis},
journal = {Publications Mathématiques de l'IHÉS},
language = {eng},
pages = {269-331},
publisher = {Institut des Hautes Études Scientifiques},
title = {Infinitesimal computations in topology},
url = {http://eudml.org/doc/103948},
volume = {47},
year = {1977},
}
TY - JOUR
AU - Sullivan, Dennis
TI - Infinitesimal computations in topology
JO - Publications Mathématiques de l'IHÉS
PY - 1977
PB - Institut des Hautes Études Scientifiques
VL - 47
SP - 269
EP - 331
LA - eng
UR - http://eudml.org/doc/103948
ER -
References
top- [B] A. BOREL, Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts, Ann. of Math., 57 (1953), 115-207. Zbl0052.40001MR14,490e
- [BD] R. BODY and R. DOUGLAS, Homotopy types within a rational homotopy type, Topology, 13 (1974), 209-214. Zbl0299.55008MR50 #5787
- [B-HC] A. BOREL and HARISH-CHANDRA, Arithmetic Subgroups of Algebraic Groups, Ann. of Math., 75 (1962), 485-535. Zbl0107.14804MR26 #5081
- [Br] Wm. BROWDER, Surgery on simply connected manifolds, Springer Ergebnisse Series, 1971.
- [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 (1970), vol. 1, 20-22. MR49 #1516
- [C] Elie CARTAN, Sur les nombres de Betti des espaces de groupes clos, C. R. Acad. Sci., Paris, 187 (1928), 196-198. Zbl54.0604.01JFM54.0604.01
- [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, 1950. Zbl0045.30701
- [D] G. DE RHAM, Intégrales multiples et Analysis Situs, C. R. Acad. Sci. Paris, 188 (1929), 1651-1652. Zbl55.0228.01JFM55.0228.01
- [Gr] M. GROMOV, Homotopical effects of Dilatation, submitted to Journal of Diff. Geom. Zbl0427.58010
- [H] Guy HIRSCH, Sur la structure multiplicative de l'anneau de cohomologie d'un espace fibré, C. R. Acad. Sci. Paris, 230 (1950), 46-48. Zbl0041.52002
- [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 (1974), A, 1607-1610. Zbl0321.13011
- [K] Daniel M. KAN, A Combinatorial definition of homotopy groups, Annals of Math., 67 (1958), 282-312. Zbl0091.36901MR22 #1897
- [KM] M. KERVAIRE and J. MILNOR, Groups of homotopy spheres I, Ann. of Math., 77 (1963), 504-557. Zbl0115.40505MR26 #5584
- [KS] R. C. KIRBY and L. C. SIEBENMANN, On the triangulation of manifolds and the Hauptvermutung, Bull. Amer. Math. Soc., 75 (1969), 742-749. Zbl0189.54701MR39 #3500
- [M1] J. MILNOR, Geometric realization of a semi-simplicial complex, Ann. of Math., 65 (1957), 357-362. Zbl0078.36602MR18,815d
- [M2] J. MILNOR, A procedure for killing the homotopy groups of a differentiable manifold, Proc. Sympos. Pure Math. III, Amer. Math. Soc., 1961, 39-55. Zbl0118.18601MR24 #A556
- [Mo] G. D. MOSTOW, Fully Reducible Subgroups of Algebraic Groups, Amer. J. Math., 78 (1956), 200-221. Zbl0073.01603MR19,1181f
- [N] S. P. NOVIKOV, Homotopically Equivalent Smooth Manifolds, AMS Translations (2), 48 (1965), 271-396.
- [P] Henri POINCARÉ, Analysis situs, Oeuvres, t. VI, 193-288, also Journal de l'Ecole Polytechnique (2), 1 (1895), 1-123. JFM26.0541.07
- [Q] Daniel QUILLEN, Rational Homotopy Theory, Ann. of Math., 90 (1969), 205-295. Zbl0191.53702MR41 #2678
- [Se1] Jean-Pierre SERRE, Homologie singulière des espaces fibrés. Applications, Ann. of Math., 54 (1951), 425-505. Zbl0045.26003MR13,574g
- [Se2] Jean-Pierre SERRE, Cohomologie galoisienne, Lecture Notes in Math., n° 3, Berlin, Springer, 1973.
- [St] R. E. STONG, Relations among characteristic Numbers I, Topology, 4 (1965), 267-281 ; II, ibid., 5 (1966), 133-148. Zbl0136.20503
- [Su1] Dennis SULLIVAN, Differential forms and the topology of manifolds, Manifolds-Tokyo (1973) (Proc. of the Intern. Conf. on Manifolds and related topics in Topology, Tokyo 1973) (ed. A. Hattori), U. of Tokyo Press, 1975, 37-49. Zbl0319.58005
- [Su2] Dennis SULLIVAN, Genetics of Homotopy Theory and the Adams Conjecture, Annals of Math., 100 (1974), 1-79. Zbl0355.57007MR56 #1305
- [Su3] Dennis SULLIVAN, Triangulating homotopy equivalences, Thesis, Princeton University (1966).
- [Su4] Dennis SULLIVAN, Geometric periodicity and the invariants of manifolds, Manifolds-Amsterdam (1970) (Proc. of the Nuffic Summer School on Manifolds, Amsterdam 1970) (ed. N. Kuiper), Lecture Notes in Math., n° 197, Berlin, Springer, 1971. Zbl0224.57002
- [Su5] Dennis SULLIVAN, On the intersection ring of compact three manifolds, Topology, 14 (1975), 275-277. Zbl0312.57003MR52 #4296
- [Su6] Dennis SULLIVAN, Inside and Outside manifolds, Proc. Intern. Cong. of Math., Vancouver, 1974, 201-207. Zbl0341.57008
- [Su7] Dennis SULLIVAN, Galois symmetry in manifold theory at the primes, Actes du Congrès intern. des Math., Nice (1970), vol. 2, 169-175, Paris, Gauthier-Villars, 1971. Zbl0235.57008
- [T] René THOM, Les classes caractéristiques de Pontryagin des variétés triangulées, Symposium internacional de topologia algebraica, 54-67, Mexico, 1958. Zbl0088.39201
- [TC] René THOM, Opérations en cohomologie réelle, Séminaire H. Cartan, 1954-1955, Exposé 17.
- [VE] N. T. VAN EST, A generalization of the Cartan Leray spectral sequence, Proc. Koninkl. Ned. Akad., série A, 1958, p. 399-413. Zbl0084.39202MR21 #2236
- [Wa] C. T. C. WALL, Surgery on compact manifolds, Academic Press, 1970. Zbl0219.57024MR55 #4217
- [We] A. WEIL, Variétés Kähleriennes, Paris, Hermann, 1958. Zbl0137.41103
- [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 (1947), 117-123 = Math. Works, vol. I, 317-323. Zbl0030.07902MR8,525h
- [W] H. WHITNEY, Geometric Integration Theory, Princeton University Press, 1957. Zbl0083.28204MR19,309c
- [Wu] WU WEN TSÜN, Theory of I* Functor in Algebraic Topology, Scientia Sinica, Vol. XVIII and Vol. XII. Zbl0376.55014
- [DS] P. DELIGNE and D. SULLIVAN, Fibrés vectoriels complexes à groupe structural discret, C. R. Acad. Sc. Paris, 281 (1975), 1081-1083. Zbl0317.55016MR53 #1587
- [DGMS] P. DELIGNE, P. GRIFFITHS, J. MORGAN, D. SULLIVAN, The real homotopy of Kaehler manifolds, Invent. Math., 29 (1975), 245-274. Zbl0312.55011MR52 #3584
- [SV] D. SULLIVAN, M. VIGUÉ, The homology theory of the closed geodesic problem, Journal of Diff. Geom., 11 (1976), 633-644. Zbl0361.53058MR56 #13269
Citations in EuDML Documents
top- Michael A. Mandell, Cochains and homotopy type
- Francisco Gómez, Simplicial types and polynomial algebras
- Y. Félix, Dénombrement des types de K-homotopie. Théorie de la déformation
- A. Van de Ven, On the differentiable structure of certain algebraic surfaces
- Marek Golasiński, Componentwise injective models of functors to DGAs
- Yves Félix, Stephen Halperin, Jean-Claude Thomas, Sur certaines algèbres de Lie de dérivations
- Maxence Cuvilliez, Aniceto Murillo, Antonio Viruel, Nilpotency of self homotopy equivalences with coefficients
- Pascal Lambrechts, Don Stanley, The rational homotopy type of configuration spaces of two points
- Toshihiro Yamaguchi, An example of a fiber in fibrations whose Serre spectral sequences collapse
- H. Scheerer, Lokalisierung von Schnitträumen
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