Sur quelques invariants numériques du type d'homotopie

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1. [1] Barcus, W., Note on cross- sections over CW - complexes, Quart. J. Math.5(1954), 150 - 160. Zbl0056.16502MR63673
2. [2] Barratt, M.G., Spaces of finite characteristic, Quart. J. Math.11 (1960), 124-136. Zbl0096.37601MR120647
3. [3] Berstein, L. and Ganea, T., Homotopical nilpotency, Illinois J. Math.5 (1961), 99- 130. Zbl0096.17602MR126277
4. [4] Berstein, I. and Ganea, T., On the homotopy- commutativity of suspensions, Illinois J. Math.6 (1962), 336 - 340. Zbl0107.40503MR141124
5. [5] Berstein, I. and Hilton, P.J., Category and generalized Hopf invariants, Illinois J. Math.4(1960), 437 - 451. Zbl0113.38301MR126276
6. [6] Blakfrs, A.L. and Massey, W.S., The homotopy groups of a triad, II, Annals of Math.55 (1952), 192 - 201. Zbl0046.40604MR44836
7. [7] Boltyanski, On the homotopical theory of continuous maps and vector fields, Trudy Inst. Steklov1955 (en russe). 
8. [8] Chevalley, C., Theory of Lie groups, I, Princeton (1946). Zbl0063.00842MR82628
9. [9] Dowker, C.H., Mapping theorems for non- compact spaces, Amer. J. Math.69(1947), 200- 242. Zbl0037.10101MR20771
10. [10] Eckmann, B. et Hilton, P.J., Groupes d'homotopie et dualité, C. R. Acad. Sc. Paris246 (1958), 2444 - 47, 2555 - 58, 2991 - 93. Zbl0092.39901
11. [11] Eckmann, B. and Hilton, P.J., On the homology and homotopy decomposition of continuous maps, Proc. Nat. Acad Sci. USA45(1959), 372- 375. Zbl0086.37402MR108791
12. [12] Eilenberg, S. and Ganea, T., On the Lusternik- Schnirelmann category of abstract groups, Annals of Math.65 (1957), 517 - 518. Zbl0079.25401MR85510
13. [13] Fox, R.H., On the Lusternik- Schnirelmann category, Annals of Math.42(1941), 333-370. Zbl0027.43104MR4108
14. [14] Gane A., T., Catégorie 1- dimensionnelle et homomorphismes de groupes fondamentaux, C. R. Acad. Sci. Paris242 (1956), 1407-1410. Zbl0071.16601MR76329
15. [15] Ganea, T., Lusternik- Schnirelmann category and cocategory, Proc. London Math. Soc.10 (1960), 623 - 639. Zbl0101.15802MR126278
16. [16] Ganea, T., Fibrations and cocategory, Commentarii Math. Helvetici35 (1961), 15 - 24. Zbl0093.37102MR124900
17. [17] Ganea, T., Upper bounds for the Lusternik- Schnirelmann category, Doklady Akad. N auk SSSR136 (1961), 1273- 76 (en russe). MR132546
18. [18] Ganea, T. and Hilton, P.J., On the decomposition of spaces in Cartesian products and unions, Proc. Camb. Phil. Soc.55 (1959), 248 - 256. Zbl0092.39801MR105689
19. [19] Ganea, T., Hilton, P.J. and Peterson, F.P., On the homotopy- commutativity of loop- spaces and suspensions, Topology1(1962), 133- 141. Zbl0109.41403MR150774
20. [20] Grossman, D.P., An estimation of the category of Lusternik-Schnirelmann, C. R. (Doklady) Acad. Sci. URSS (N. S. ) 54 (1946), 109-112. Zbl0061.41201MR18820
21. [21] Hilton, P.J., On the homotopy groups of the union of spheres, J. London Mat h. Soc.30 (1955), 154 - 173. Zbl0064.17301MR68218
22. [22] Hilton, P.J., Homotopy theory and duality, Lecture notes, Cornell University, 1959. 
23. [23] Hilt On, P.J., On a generalization of nilpotency to semi- simplicial complexes, Proc. London Math. Soc.10 (1960), 604-622. Zbl0126.38902MR126270
24. [24] Hilton, P.J., On excision and principal fibrations, CommentariMath. Helv.35(1961), 77-84. Zbl0107.16804MR164350
25. [25] Hurewicz, W., Beiträge zur Topologie der Deformationen, IV, P roc. Akad. Amsterdam39(1936), 215 - 224. Zbl0013.28303
26. [26] Lusternik, L. et Schnirelmann, L., Méthodes topologiques dans les problèmes variationnels, Hermann, Paris (1934). Zbl0011.02803
27. [27] Milnor, J., The geometric realization of a semi- simplicial complex, Annals of Math.65(1957), 357 - 362. Zbl0078.36602MR84138
28. [28] Milnor, J., The construction FK, Mimeographed Notes, Princeton University. 
29. [29] Milnor, J., On spaces having the homotopy type of a CW - complex, Trans. Amer. Math. Soc.90(1959), 272 - 280. Zbl0084.39002MR100267
30. [30] Moore, J.C., Le théorème de Freudenthal, la suite exactede James et l'invariant de Hopf généralisé, Séminaire H. Cartan, E. N. S. (1955). 
31. [31] Morita, K., Note on mapping spaces, Proc. Japan Acad.32 (1956), 671 - 675. Zbl0072.40403MR85496
32. [32] Puppe, D., Homotopiemengen und ihre induzierten Abbildungen, I, Math. Z.69 (1958), 299 - 344. Zbl0092.39803MR100265
33. [33] Reeb, G. et Wu WenTSUN, Sur les espaces fibrés et les variétés feuilletées, Hermann, Paris (1952). Zbl0049.12602
34. [34] Samelson, H., A connection between the Whitehead and the Pontryagin product, Amer. J. Math.75 (1953), 744- 752. Zbl0051.13904MR60819
35. [35] Serre, J.P., Homologie singulière des espaces fibrés, Annals of Math.54(1951), 425 - 505. Zbl0045.26003MR45386
36. [36] Serre, J.P., Groupes d'homotopie et classes de groupes abéliens, Annals of Math.58 (1953), 258 - 294. Zbl0052.19303MR59548
37. [37] Spanier, E.H. and Whitehead, J. H. C., On fibre spaces in which the fibre is contractible, Commentarii Math. Helv.29 (1955), 1 - 8. Zbl0064.41601MR66646
38. [38] Stasheff, J., On homotopy- abelian H- spaces, Proc. Camb. Phil. Soc.57(1961), 734 - 745. Zbl0106.16504MR141123
39. [39] Bugawara, M., On the homotopy- commutativity of groups and loop- spaces, Mem. Coll. Sc. Kyoto33 (1960), 257 - 269. Zbl0113.16903MR120645
40. [40] Whitehead, G.W., The homology suspension, Colloque de Topologie AlgébriqueLouvain1956, 89 - 95. Zbl0079.39101MR94794
41. [41] Whitehead, G.W., Homotopy Theory, Lecture Notes, Massachusetts Institute of Technology (1953). Zbl0053.43402MR91469
42. [42] Whitehead, G.W., On mapping into group- like spaces, Commentarii Math. Helv.28(1954), 320-328. Zbl0058.16801MR65927
43. [43] Whitehead, J. H. C., Combinatorial homotopy, I, Bull. Amer. Math. Soc.55(1949), 213-245. Zbl0040.38704MR30759
44. [44] Whitehead, J. H. C., A certain exact sequence, Annals of Math.52(1950), 51- 110. Zbl0037.26101MR35997