@article{ASENS_2002_4_35_4_549_0, author = {Cornea, Octavian}, title = {Homotopical dynamics II : Hopf invariants, smoothings and the Morse complex}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, volume = {35}, year = {2002}, pages = {549-573}, doi = {10.1016/s0012-9593(02)01098-4}, mrnumber = {1981172}, zbl = {1021.37009}, language = {en}, url = {http://dml.mathdoc.fr/item/ASENS_2002_4_35_4_549_0} }
Cornea, Octavian. Homotopical dynamics II : Hopf invariants, smoothings and the Morse complex. Annales scientifiques de l'École Normale Supérieure, Tome 35 (2002) pp. 549-573. doi : 10.1016/s0012-9593(02)01098-4. http://gdmltest.u-ga.fr/item/ASENS_2002_4_35_4_549_0/
[1] On the groups J(X). IV, Topology 5 (1966) 21-71. | MR 198470 | Zbl 0145.19902
,[2] On handle decompositions and diffeomorphisms, Trans. Amer. Math. Soc. 137 (1969) 21-26. | MR 236938 | Zbl 0176.21603
,[3] The generalized Whitehead product, Pacific J. Math. 12 (1962) 7-23. | MR 155328 | Zbl 0118.18404
,[4] Cohen R.L., Jones J.D.S., Segal G.B., Morse theory and classifying spaces, Preprint.
[5] Floer's Infinite Dimensional Morse Theory and Homotopy Theory, The Floer Memorial Volume, Birkhauser, 1995. | MR 1362832 | Zbl 0843.58019
, , ,[6] Homotopical dynamics: suspension and duality, Ergodic Theory Dynamical Systems 20 (2000) 379-391. | MR 1756976 | Zbl 0984.37017
,[7] Spanier-Whitehead duality and critical points, in: Homotopy Theory via Algebraic Geometry and Group Representations, Contemp. Math., 220, American Mathematical Society, 1998, pp. 47-63. | MR 1642889 | Zbl 0911.55004
,[8] Cone-decompositions and degenerate critical points, Proc. London Math. Soc. 77 (1998) 437-461. | MR 1635165 | Zbl 0913.55002
,[9] On conic spaces, in: Lecture Notes in Math., 1474, Springer, 1991, pp. 38-58. | MR 1133891 | Zbl 0793.55001
,[10] Manifolds which are like projective planes, Pub. IHES 14 (1962) 5-46. | Numdam | MR 145544 | Zbl 0109.15701
, ,[11] Morse-Smale flows and homotopy theory, Topology 18 (1979) 199-215. | MR 546790 | Zbl 0426.58013
,[12] Cogroups and suspension, Invent. Math. 9 (1970) 185-197. | MR 267582 | Zbl 0194.55103
,[13] A generalization of the homology and homotopy suspension, Comment. Math. Helv. 39 (1965) 295-322. | MR 179791 | Zbl 0142.40702
,[14] Ganea's conjecture on the Lusternik-Schnirelmann category, Bull. London Math. Soc. 30 (1998) 623-634. | MR 1642747 | Zbl 0947.55006
,[15] Applications of the transfer to stable homotopy, Bull. Amer. Math. Soc. 78 (1972) 981-987. | MR 309109 | Zbl 0265.55009
, ,[16] A manifold which does not admit any differentiable structure, Comment. Math. Helv. 34 (1960) 257-270. | MR 139172 | Zbl 0145.20304
,[17] Groups of homotopy spheres. I, Ann. of Math. 77 (1963) 504-537. | MR 148075 | Zbl 0115.40505
, ,[18] Higher Reidemeister torsion and parametrized Morse theory, Rend. Circ. Mat. Palermo (2) Suppl. 30 (1993) 15-20. | MR 1246615 | Zbl 0807.57026
,[19] Klein J., Poincaré duality embeddings and fiberwise homotopy theory, Topology, to appear. | MR 1670412 | Zbl 0928.57028
[20] On the bi-stable J-homomorphism, in: Lecture Notes in Math., 763, Springer, 1979, pp. 13-22. | MR 561211 | Zbl 0429.55005
,[21] Methodes topologiques dans les problèmes variationels, Hermann, Paris, 1934. | Zbl 0011.02803
, ,[22] Some Whitehead products in Sn, Topology 4 (1965) 17-26. | MR 178467 | Zbl 0142.40704
,[23] A new infinite family in 2π∗S, Topology 16 (1977) 249-256. | Zbl 0357.55020
,[24] The EHP sequence and periodic homotopy, in: (Ed.), Hanbook of Algebraic Topology, Elsevier, Amsterdam, 1995, pp. 397-423. | MR 1361895 | Zbl 0865.55011
, ,[25] On the minimal ordered Morse functions, Publ. RIMS Kyoto Univ. 14 (1978) 673-684. | MR 527195 | Zbl 0409.57033
,[26] The Mislin genus of a space, in: CRM Proc. Lecture Notes, 6, American Mathematical Society, 1994, pp. 75-102. | MR 1290585 | Zbl 0820.55007
,[27] On the cobordism ring Ω∗ and a complex analogue, Amer. J. Math. 82 (1960) 505-521. | Zbl 0095.16702
,[28] Morse Theory, Ann. of Math. Studies, Princeton University Press, 1963. | MR 163331 | Zbl 0108.10401
,[29] The Adams conjecture, Topology 10 (1970) 67-80. | MR 279804 | Zbl 0219.55013
,[30] Lusternik-Schnirelmann category of some infinite complexes, Topology 39 (2000) 95-101. | MR 1710994 | Zbl 0933.55004
,[31] Morse Homology, Progress in Mathematics, 111, Birkhauser, 1993. | MR 1239174 | Zbl 0806.57020
,[32] Functions on Manifolds, Transl. of Math. Monographs, 131, American Mathematical Society, 1993. | MR 1248167 | Zbl 0791.57001
,[33] Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967) 747-817. | MR 228014 | Zbl 0202.55202
,[34] Manifolds with few cells and the stable homotopy of spheres, Proc. Amer. Math. Soc. 31 (1) (1972) 279-285. | MR 296957 | Zbl 0232.55027
,[35] Spaces satisfying Poincaré duality, Topology 6 (1967) 77-101. | MR 214071 | Zbl 0185.50904
,[36] Spaces of Lusternik-Schnirelmann category n and of cone-length n+1, Topology 39 (2000) 985-1019. | MR 1763960 | Zbl 0978.55002
,[37] Genetics of homotopy theory and the Adams conjecture, Ann. of Math. 100 (1974) 1-79. | MR 442930 | Zbl 0355.57007
,[38] Composition Methods in the Homotopy Groups of Spheres, Ann. of Math. Studies, 49, Princeton Univ. Press, 1962. | MR 143217 | Zbl 0101.40703
,[39] Classification problems in differential topology IV, Topology 3 (1966) 73-94. | MR 192509 | Zbl 0149.20501
,[40] Elements of Homotopy Theory, Grad. Texts in Math., 61, Springer, 1978. | MR 516508 | Zbl 0406.55001
,[41] Supersymmetry and Morse theory, J. Differential Geom. 17 (1982) 661-692. | MR 683171 | Zbl 0499.53056
,