Théorie de Schreier supérieure

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1. [1] J. BENABOU, Catégories avec multiplication (C. R. Acad. Sc. Paris, vol. 256, 1963, p. 1887-1890). Zbl0111.02201MR26 #6225
2. [2] A. J. BERRICK, Group Extensions and their Trivialisations (L'Enseignement Math., vol. 31, 1985, p. 151-172). Zbl0584.20023MR87d:20042
3. [3] P. BOOTH, P. HEATH, C. MORGAN et R. PICCININI, H-Spaces of Self-Equivalences of Fibrations and Bundles (Proc. London, Math. Soc., vol. 49, 1984, p. 111-127). Zbl0525.55005MR85k:55013
4. [4] L. BREEN, Bitorseurs et cohomologie non-abélienne, dans The Grothendieck Festchrift I (Progress in Mathematics, vol. 86, 1990, p. 401-476, Birkhäuser). Zbl0743.14034MR92m:18019
5. [5] K. S. BROWN, Cohomology of Groups (Graduate Texts in Mathematics, vol. 87, Springer-Verlag, 1982). Zbl0584.20036MR83k:20002
6. [6] R. BROWN et N. D. GILBERT, Algebraic Models of 3-Types and Automorphism Structures for Crossed Modules (Proc. London Math. Soc., vol. 59, 1989, p. 51-73). Zbl0645.18007MR90e:18015
7. [7] M. BULLEJOS et A. CEGARRA, A 3-Dimensional Non-Abelian Cohomology of Groups with Applications to Homotopy Classification of Continuous Maps (Canad. J. Math., vol. 43, (2), 1991, p. 1-32). Zbl0726.18009MR92k:18012
8. [8] D. CONDUCHÉ, Modules croisés généralisés de longueur 2 (J. Pure Applied Alg., vol. 34, 1984, p. 155-178). Zbl0554.20014MR86g:20068
9. [9] P. DEDECKER, Les foncteurs Extπ, H²π et H²π non abélien (C. R. Acad. Sci. Paris., vol. 258, 1964, p. 4891-4894). Zbl0124.01402MR29 #5873
10. [10] P. DEDECKER, Algèbre homologique non-abélienne (Colloque de Topologie Algébrique, Centre Belge de Recherches Mathématiques, Bruxelles, 1964). Zbl0168.26805
11. [11] P. DEDECKER, Three Dimensional Non Abelian Cohomology Groups, dans Category Theory, Homology Theory and their Applications II (Lecture Notes in Math., vol. 92, 1969, p. 32-64, Springer-Verlag). Zbl0249.18027MR41 #8493
12. [12] P. DELIGNE, La formule de dualité globale, exposé XVIII de SGA 4 (Lecture Notes in Math., vol. 305, Springer-Verlag, 1973). Zbl0259.14006MR50 #7132
13. [13] M. DROR et A. ZABRODSKY, Unipotency and Nilpotency in Homotopy Equivalences (Topology, vol. 18, 1979, p. 187-197). Zbl0417.55008MR81g:55008
14. [14] J. DUSKIN, An Outline of a Theory of Higher Dimensional Descent (Bull. de la Soc. Math. de Belgique (série A), vol. 41, 1989, p. 249-277). Zbl0781.18004MR91c:18013
15. [15] S. EILENBERG et S. MACLANE, Cohomology theory in abstract groups I (Ann. of Math., vol. 47, 1948, p. 51-78). Zbl0029.34001MR8,367f
16. [16] S. EILENBERG et S. MACLANE, On the Groups H(П, n) I, II (Ann. of Math., vol. 58, 1953, p. 55-106 et vol. 60, 1954, p. 49-139). Zbl0055.41704MR15,54b
17. [17] G. ELLIS et R. STEINER, Higher Dimensional Crossed Modules and the Homotopy Groups of (n + 1)-ads (J. Pure Appl. Algebra, vol. 46, 1987, p. 117-136). Zbl0622.55010MR88j:55010
18. [18] J. GIRAUD, Cohomologie non abélienne (Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, vol. 179, Springer-Verlag, 1971). Zbl0226.14011MR49 #8992
19. [19] A. GROTHENDIECK, Biextensions de faisceaux de groupes, exposé VII de SGA7I, Groupes de monodromie en géométrie algébrique (Lecture notes in Math., vol. 288, Springer-Verlag, 1972). Zbl0247.14011MR50 #7134
20. [20] M. HAKIM, Topos annelé et schémas relatifs (Ergebnisse der Math. und ihrer Grenzgebiete, vol. 64, Springer Verlag, 1972). Zbl0246.14004MR51 #500
21. [21] R. O. HILL Jr., Moore-Postnikov Towers for Fibrations in which π1 (fiber) is Non-Abelian (Pacific J. Math., vol. 62, 1976, p. 141-148). Zbl0328.55013
22. [22] D. F. HOLT, An Interpretation of the Cohomology Groups Hn(G, A) (J. Algebra, vol. 60, 1979, p. 307-320). Zbl0699.20040MR80m:20040
23. [23] J. HUEBSCHMANN, Crossed n-fold Extensions of Groups and Cohomology (Comment. Math. Helvetici, vol. 55, 1980, p. 302-314). Zbl0443.18019MR82e:20063
24. [24] L. ILLUSIE, Complexe cotangent et déformations I, II (Lecture notes in Math., vol. 239, 283, Springer-Verlag, 1971, 1972). Zbl0224.13014MR58 #10886a
25. [25] A. JOYAL et R. STREET, Braided Monoidal Categories, Preprint. 
26. [26] G. M. KELLEY et M. LAPLAZA, Coherence for Compact Closed Categories (Lecture notes in Math., vol. 281, Springer-Verlag, 1972). 
27. [27] A. LEGRAND, Homotopie des espaces de sections (Lecture notes in Math., vol. 941, Springer-Verlag, 1982). Zbl0535.55001MR83m:55028
28. [28] J.-L. LODAY, Spaces with Finitely Many Non Trivial Homotopy Groups (J. Pure and Appl. Alg., vol. 24, 1982, p. 179-202). Zbl0491.55004MR83i:55009
29. [29] S. MACLANE, Natural Associativity and Commutativity (Rice University Studies, vol. 49, 1963, p. 28-46), reproduit dans les Selected Papers, I. KAPLANSKY éd., Springer Verlag, 1979. Zbl0244.18008MR30 #1160
30. [30] S. MACLANE, Categories for the Working Mathematician (Graduate texts in Mathematics, vol. 5, Springer-Verlag, 1972). 
31. [31] J. P. MAY, Simplicial Objects in Algebraic Topology, Van Nostrand, 1967. Zbl0165.26004MR36 #5942
32. [32] J. P. MAY, E∞-Spaces, Group Completions and Permutative Categories, dans New Developments in Topology, G. SEGAL éd., (London Math. Soc. Lecture note series, vol. 11, 1974, p. 61-93, Cambridge University Press). Zbl0281.55003MR49 #3915
33. [33] J. P. MAY, Classifying Spaces and Fibrations (Memoirs of the A.M.S., vol. 155, 1975). Zbl0321.55033MR51 #6806
34. [34] I. MOERDIJK, Morita Equivalence for Continuous Groups (Math. Proc. Cambr. Phil. Soc., vol. 103, 1988, p. 97-115). Zbl0648.22001MR88j:22001
35. [35] G. MOORE et N. SEIBERG, Classical and Quantum Field Theory, (Comm. Math. Phys., vol. 123, 1989, p. 177-254). Zbl0694.53074MR90e:81216
36. [36] K. NORRIE, Actions and Automorphisms of Crossed Modules (Bull. S.M.F., vol. 118, 1989, p. 101-119). Zbl0719.20018MR91m:18010
37. [37] R. A. PICCINNINI éd., Groups of Self-Equivalences and Related Topics (Lecture notes in Math., vol. 1425, Springer-Verlag, 1990). Zbl0695.00020MR91e:55001
38. [38] N. SAAVEDRA RIVANO, Catégories tannakiennes (Lecture notes in Math., vol. 265, Springer-Verlag, 1972). Zbl0241.14008MR49 #2769
39. [39] J. E. ROBERTS, Mathematical Aspects of Local Cohomology (Colloquium on Operator Algebras and their Applications to Mathematical Physics, Colloque International C.N.R.S., vol. 274, Marseille, 1977). Zbl0455.55005MR81e:18017
40. [40] O. SCHREIER, Uber die Erweiterung von Gruppen I (Monatsh. Math. Phys., vol. 34, 1926, p. 165-180) ; II. (Abh. Math. Sem. Hamburg, vol. 4, 1926, p. 321-346). JFM52.0113.04
41. [41] G. SEGAL, Cohomology of Topological Groups (Symposia Mat. IV, 1970, p. 377-387, Istituto Nazionale di Alta Matematic, Bologna). Zbl0223.57034MR43 #6292
42. [42] J.-P. SERRE, Groupes algébriques et corps de classe (Actualités scientifiques et Industrielles, Hermann, 1959). Zbl0097.35604MR21 #1973
43. [43] HOANG XUAN SINH, Gr-catégories (thèse de doctorat, Université Paris-VII, 1975). 
44. [44] J. STASHEFF, Homotopy Associativity of H-Spaces I (Trans. A.M.S., vol. 108, 1963, p. 275-292). Zbl0114.39402MR28 #1623
45. [45] J. STASHEFF, H-Spaces from a Homotopy Point of View (Lecture Notes in Math., vol. 161, Springer-Verlag, 1970). Zbl0205.27701MR42 #5261
46. [46] J. STASHEFF, H-Spaces and Classifying Spaces : Foundations and Recent Developments, dans Algebraic Topology (Proc. Symp. Pure Math., vol. 22, 1971, p. 247-272, A.M.S.). Zbl0234.55020MR47 #9612
47. [47] K. ULBRICH, Group Cohomology for Picard Categories (J. Alg., vol. 91, 1984, p. 464-498). Zbl0554.18005MR86h:18003
48. [48] D. YETTER, Category Theoretic Representations of Knotted Graphs in S3 [Advances in Mathematics (à paraître)]. 

1. B. A. R. Garzón, A. del Rio, Low-dimensional cohomology for categorical groups