@article{CTGDC_1989__30_1_61_0, author = {Brown, Ronald and Golasinski, Marek}, title = {A model structure for the homotopy theory of crossed complexes}, journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques}, pages = {61--82}, publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS}, volume = {30}, number = {1}, year = {1989}, mrnumber = {1000831}, zbl = {0679.55016}, language = {en}, url = {http://archive.numdam.org/item/CTGDC_1989__30_1_61_0/} }
TY - JOUR AU - Brown, Ronald AU - Golasinski, Marek TI - A model structure for the homotopy theory of crossed complexes JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques PY - 1989 SP - 61 EP - 82 VL - 30 IS - 1 PB - Dunod éditeur, publié avec le concours du CNRS UR - http://archive.numdam.org/item/CTGDC_1989__30_1_61_0/ LA - en ID - CTGDC_1989__30_1_61_0 ER -
%0 Journal Article %A Brown, Ronald %A Golasinski, Marek %T A model structure for the homotopy theory of crossed complexes %J Cahiers de Topologie et Géométrie Différentielle Catégoriques %D 1989 %P 61-82 %V 30 %N 1 %I Dunod éditeur, publié avec le concours du CNRS %U http://archive.numdam.org/item/CTGDC_1989__30_1_61_0/ %G en %F CTGDC_1989__30_1_61_0
Brown, Ronald; Golasinski, Marek. A model structure for the homotopy theory of crossed complexes. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Volume 30 (1989) no. 1, pp. 61-82. http://archive.numdam.org/item/CTGDC_1989__30_1_61_0/
1 Algebraic homotopy, Cambridge University Press, Cambridge, 1989. | MR | Zbl
,2 The homotopy types of 4-dimensionsal complexes", Preprint, Bonn 1986. | MR
, "3 Fibrations of groupoids", J. Algebra 15 (1970), 103-132. | MR | Zbl
, "4 "Some non-abelian methods in homotopy theory and homological algebra", Categorical topology, Proc. Conf. on Categorical Topology, Toledo, Ohio 1983, ed. H.L. Bentley et al, Heldermann-Verlag, Berlin (1984), 108-146. | MR | Zbl
,5 Non-Abelian cohomology and the homotopy classification of maps", Homotopie algébrique et algèbre locale, Conf. Marseille-Luminy 1982, ed. J.-M.Lemaire et J.-C. Thomas, Astérisque 113-114 (1984), 167-172. | MR | Zbl
, "6 Coproducts of crossed P-modules: applications to second homotopy groups and to the homology of groups", Topology, 23 (1984), 337-345. | MR | Zbl
, "7 The algebra of cubes", J. Pure Appl. Algebra 21 (1981), 233-260. | MR | Zbl
& , "8 Colimit theorems for relative homotopy groups", J. Pure Appl. Algebra 22 (1981), 11-41. | MR | Zbl
& , "9 Crossed complexes and non-Abelian extensions", Int. Conf. on Category Theory, Gummersbach (1981), Lecture Notes in Math. 962, Springer (1982), 39-50. | MR | Zbl
& , "10 Tensor products and homotopies for ω-groupoids and crossed complexes ", J. Pure Appl. Algebra 47 (1987), 1-33. | Zbl
& , "11 The classifying space of a crossed complex" (in preparation). | Zbl
& , "12 The relation between crossed complexes and chain complexes with a groupoid of operators" (in preparation).
& , "13 Identitites among relations", in Low-dimensional Topology, ed. R. Brown & T.L. Thickstun, London Math. Soc. Lecture Notes Series 48, C.U. P. (1982), 153-202. | MR | Zbl
& , "14 Calculus of fractions and homotopy theory, Springer-Verlag, Berlin 1967. | MR | Zbl
& ,15 An interpretation of the cohomology groups Hn(G,M) ", J. Alg. 16 (1970), 307-318. | Zbl
, "16 Pullback functors and crossed complexes", Cahiers de Top. et Géom. Diff. XX (1979), 281-295. | Numdam | MR | Zbl
, "17 Crossed n-fold extensions and cohomology", Comm. Math. Helv. 55 (1980), 302-314. | MR | Zbl
, "18 Kan-Bedingungen und abstrakte Homotopietheorie ", Math. Z. 124 (1972), 215-236. | MR | Zbl
, "19 Abstract homotopy and simple homotopy theory", U.C.N.W. Pure Maths, Preprint 86.9. | MR
& , "20 Cohomology of groups relative to a variety ", J. Alg. 69, (1979), 319-320. | MR | Zbl
, "21 Historical note", J. Alg. 69 (1979), 319-320.
, "22 Homotopical algebra", Lecture Notes in Math. 43, Springer (1967). | MR | Zbl
, "23 An abstract setting for homotopy pushouts and pullbacks", Cahiers de Top. et Géom. Diff. XVIII (1977), 409-429. | Numdam | MR | Zbl
, "24 Pullback and pushout squares in a special double category with connection", Cahiers de Top. et Géom. Diff. XXIV (1983). 161-192. | Numdam | MR | Zbl
& , "25 A note on homotopy equivalences", Proc. A.M.S. 32 (1972), 627-62. | MR | Zbl
, "26 Combinatorial homotopy II", Bull. A. M.S. 55 (1949), 453-469. | MR | Zbl
, "27 Simple homotopy type", Amer. J. Math. 72 (1950), 1-57. | MR | Zbl
, "28 Non-abelian cohomology with coefficients in a crossed complex" (in preparation).
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