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Volumn 5, Issue 1, 2003, Pages 437-547

Bicatégories monoidales et extensions de gr-catégories

Author keywords

Bitorsor; Extension; gr cat gory; Mono dal bicat gory; Nonabelian cohomology; Torsor

Indexed keywords


EID: 12944283693     PISSN: 15320073     EISSN: 15320081     Source Type: Journal    
DOI: 10.4310/HHA.2003.v5.n1.a19     Document Type: Article
Times cited : (19)

References (37)
  • 1
    • 0002831987 scopus 로고
    • Introduction to bicategories
    • Springer Verlag
    • J. BENABOU, Introduction to bicategories, L. Notes in Math., Vol. 47, Springer Verlag, 1972, p. 1-77.
    • (1972) L. Notes in Math. , vol.47 , pp. 1-77
    • Benabou, J.1
  • 2
    • 0000058001 scopus 로고
    • Bitorseurs et cohomologie non-abélienne
    • L. BREEN, Bitorseurs et cohomologie non-abélienne, Progress in Mathematics, Vol. 86, 1990, p. 401-476.
    • (1990) Progress in Mathematics , vol.86 , pp. 401-476
    • Breen, L.1
  • 3
    • 0001434515 scopus 로고
    • Théorie de Schreier supérieure
    • L. BREEN, Théorie de Schreier supérieure, Ann. scient. Ec. Norm. Sup., Vol. 25, 1992, p. 465-514.
    • (1992) Ann. Scient. Ec. Norm. Sup , vol.25 , pp. 465-514
    • Breen, L.1
  • 6
    • 21444455333 scopus 로고    scopus 로고
    • (Braided) Tensor structures on homotopy groupoids and nerves of (braided) categorical groups
    • P. CARRASCO et A. M. CEGARRA, (Braided) Tensor structures on homotopy groupoids and nerves of (braided) categorical groups, Communications in Algebra, Vol. 24, 1996, p. 3995-4058.
    • (1996) Communications in Algebra , vol.24 , pp. 3995-4058
    • Carrasco, P.1    Cegarra, A.M.2
  • 7
    • 0007335166 scopus 로고    scopus 로고
    • Schreier theory for central extensions of categorical groups
    • P. CARRASCO et A. M. CEGARRA, Schreier theory for central extensions of categorical groups, Communications in Algebra, Vol. 24, 1996, p. 4059-4112.
    • (1996) Communications in Algebra , vol.24 , pp. 4059-4112
    • Carrasco, P.1    Cegarra, A.M.2
  • 8
    • 0034347014 scopus 로고    scopus 로고
    • Schreier theory for singular extensions of categorical groups and homotopy classification
    • P. CARRASCO, A. R. GARZON et J. G. MIRANDA, Schreier theory for singular extensions of categorical groups and homotopy classification, Communications in Algebra, Vol. 28, 2000, p. 2585-2613.
    • (2000) Communications in Algebra , vol.28 , pp. 2585-2613
    • Carrasco, P.1    Garzon, A.R.2    Miranda, J.G.3
  • 10
    • 0035454551 scopus 로고    scopus 로고
    • Homotopy classification of categorical torsors
    • A. M. CEGARRA et A. R. GARZON, Homotopy classification of categorical torsors, Applied Categorical Structures, Vol. 9, 2001, p. 465-496.
    • (2001) Applied Categorical Structures , vol.9 , pp. 465-496
    • Cegarra, A.M.1    Garzon, A.R.2
  • 11
    • 0000576574 scopus 로고
    • Modules croisés généralisés de longueur 2
    • D. CONDUCHÉ, Modules croisés géné ralisés de longueur 2, J. Pure Appl. Algebra, Vol. 34, 1984, p. 155-178.
    • (1984) J. Pure Appl. Algebra , vol.34 , pp. 155-178
    • Conduché, D.1
  • 12
    • 0031571058 scopus 로고    scopus 로고
    • Monoidal bicategories and hopf algebroids
    • B. DAY et R. STREET, Monoidal Bicategories and Hopf Algebroids, Advances in Math., Vol. 129, 1997, p. 99-157.
    • (1997) Advances in Math. , vol.129 , pp. 99-157
    • Day, B.1    Street, R.2
  • 13
    • 18544385844 scopus 로고
    • Cohomologie à coefficients non abélien
    • P. DEDECKER, Cohomologie à coefficients non abélien, C.R. Acad. Sc. Paris, 287, 1958, p. 1160-1162.
    • (1958) C.R. Acad. Sc. Paris , vol.287 , pp. 1160-1162
    • Dedecker, P.1
  • 14
    • 52849109043 scopus 로고    scopus 로고
    • Simplicial matrices and the nerves of weak n-categories I : Nerves of bicategories
    • J. W. DUSKIN, Simplicial Matrices and the Nerves of Weak n-Categories I : Nerves of Bicategories, Theory and Applications of Categories, Vol. 7, N° 10, 2002, p. 198-308.
    • (2002) Theory and Applications of Categories , vol.7 , Issue.10 , pp. 198-308
    • Duskin, J.W.1
  • 16
    • 0002705486 scopus 로고
    • Cohomologiy theory in abstract group I
    • S. EILENBERG et S. MAC LANE, Cohomologiy theory in abstract group I, Ann. of Math., Vol. 47, 1948, p. 51-78.
    • (1948) Ann. of Math. , vol.47 , pp. 51-78
    • Eilenberg, S.1    Mac Lane, S.2
  • 18
    • 0003291709 scopus 로고
    • Formal category theory: Adjointness for 2-categories
    • Springer Verlag
    • J. W. GRAY, Formal Category Theory: Adjointness for 2-Categories, L. Notes in Math., Vol. 391, Springer Verlag, 1974.
    • (1974) L. Notes in Math. , vol.391
    • Gray, J.W.1
  • 19
    • 0001091714 scopus 로고
    • Catégories fibrées et descente, (SGA I) exposé VI
    • Springer Verlag
    • A. GROTHENDIECK, Catégories Fibrées et descente, (SGA I) exposé VI, L. Notes in Math., Vol. 224, Springer Verlag, 1971, p. 145-194.
    • (1971) L. Notes in Math. , vol.224 , pp. 145-194
    • Grothendieck, A.1
  • 20
    • 0003281214 scopus 로고
    • Biextensions de faisceaux de groupes, exposé VII de SGA7I
    • Springer Verlag
    • A. GROTHENDIECK, Biextensions de faisceaux de groupes, exposé VII de SGA7I, L. Notes in Math., Vol. 288, Springer Verlag, 1972.
    • (1972) L. Notes in Math. , vol.288
    • Grothendieck, A.1
  • 21
    • 0000075499 scopus 로고
    • n(G, M)
    • n(G, M), J. Algebra, Vol. 60, 1979, p. 307-320.
    • (1979) J. Algebra , vol.60 , pp. 307-320
    • Holt, D.F.1
  • 22
    • 43949173985 scopus 로고
    • Braided tensor categories
    • A. JOYAL et R. STREET, Braided tensor categories, Advances in Math., Vol. 102, 1993, p. 20-78.
    • (1993) Advances in Math. , vol.102 , pp. 20-78
    • Joyal, A.1    Street, R.2
  • 24
    • 0001105583 scopus 로고
    • Review of the elements of 2-categories
    • Springer Verlag
    • G. M. KELLY et R. STREET, Review of the elements of 2-categories, L. Notes in Math., Vol. 420, Springer Verlag, 1974, p. 75-103.
    • (1974) L. Notes in Math. , vol.420 , pp. 75-103
    • Kelly, G.M.1    Street, R.2
  • 26
    • 0003146836 scopus 로고
    • Natural associativity and commutativity
    • S. MAC LANE, Natural associativity and commutativity, Rice Univ. Stud., Vol. 43, 1963, p. 28-46.
    • (1963) Rice Univ. Stud. , vol.43 , pp. 28-46
    • Mac Lane, S.1
  • 27
    • 0004041372 scopus 로고
    • col. Grundlehren, Springer Verlag, 114, 4 édit
    • S. MAC LANE, Homology, col. Grundlehren, Springer Verlag, 114, 4 édit., 1994.
    • (1994) Homology
    • Mac Lane, S.1
  • 28
    • 0001794181 scopus 로고
    • Coherence for bicategories and indexed categories
    • S. MAC LANE, R. PARE, Coherence for bicategories and indexed categories, J. Pure Appl. Algebra, Vol. 37, 1985, p. 59-80.
    • (1985) J. Pure Appl. Algebra , vol.37 , pp. 59-80
    • Mac Lane, S.1    Pare, R.2
  • 29
    • 18544370789 scopus 로고
    • Spaces with finitely many nontrivial homotopy groups
    • J. L. LODAY, Spaces with finitely many nontrivial homotopy groups, J. Pure Appl. Algebra, Vol. 24, 1985, p. 59-80.
    • (1985) J. Pure Appl. Algebra , vol.24 , pp. 59-80
    • Loday, J.L.1
  • 30
    • 0010739137 scopus 로고
    • Homotopy equivalences in 2-categories
    • Springer Verlag
    • H. J. MARCUM, Homotopy equivalences in 2-categories, L. Notes in Math., Vol. 1425, Springer Verlag, 1979, p. 179-202.
    • (1979) L. Notes in Math. , vol.1425 , pp. 179-202
    • Marcum, H.J.1
  • 31
    • 18544375816 scopus 로고
    • Lecture on 2-dimensional groupoïds
    • Uni. Cath. de Louvain, rapport
    • I. MOERDIJK, Lecture on 2-dimensional groupoïds, Sem. Math. Pure., Uni. Cath. de Louvain, rapport 175, 1990.
    • (1990) Sem. Math. Pure. , vol.175
    • Moerdijk, I.1
  • 33
    • 0004174310 scopus 로고
    • Catégories tannakiennes
    • Springer Verlag
    • N. SAAVEDRA RIVANO, Catégories tannakiennes, L. Notes in Math., Vol. 265, Springer Verlag, 1972.
    • (1972) L. Notes in Math. , vol.265
    • Saavedra Rivano, N.1
  • 34
    • 0000939978 scopus 로고
    • Uber die erweiterung von gruppen I
    • O. SCHREIER, Uber die Erweiterung von Gruppen I, Monatsh. Math. Phys., Vol. 34, 1926, p. 165-180.
    • (1926) Monatsh. Math. Phys. , vol.34 , pp. 165-180
    • Schreier, O.1
  • 35
    • 84904246723 scopus 로고
    • thèse de doctorat d'état, Université Paris VII
    • Hoang Xuan SINH, Gr-catégorie, thèse de doctorat d'état, Université Paris VII, 1975.
    • (1975) Gr-catégorie
    • Hoang Xuan, S.I.N.H.1
  • 36
    • 84968509262 scopus 로고
    • Homotopy associativity of H-spaces. I
    • J.D. STASHEFF, Homotopy associativity of H-spaces. I, Trans. Amer. Math. Soc., Vol. 108, 1963, p. 275-292.
    • (1963) Trans. Amer. Math. Soc. , vol.108 , pp. 275-292
    • Stasheff, J.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.