@article{CTGDC_1997__38_1_67_0,
author = {Cabello, J. G.},
title = {Simplicial groups as models for $n$-types},
journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
pages = {67--92},
publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS},
volume = {38},
number = {1},
year = {1997},
mrnumber = {1437197},
zbl = {0873.18004},
language = {en},
url = {http://www.numdam.org/item/CTGDC_1997__38_1_67_0/}
}
TY - JOUR AU - Cabello, J. G. TI - Simplicial groups as models for $n$-types JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques PY - 1997 SP - 67 EP - 92 VL - 38 IS - 1 PB - Dunod éditeur, publié avec le concours du CNRS UR - http://www.numdam.org/item/CTGDC_1997__38_1_67_0/ LA - en ID - CTGDC_1997__38_1_67_0 ER -
%0 Journal Article %A Cabello, J. G. %T Simplicial groups as models for $n$-types %J Cahiers de Topologie et Géométrie Différentielle Catégoriques %D 1997 %P 67-92 %V 38 %N 1 %I Dunod éditeur, publié avec le concours du CNRS %U http://www.numdam.org/item/CTGDC_1997__38_1_67_0/ %G en %F CTGDC_1997__38_1_67_0
Cabello, J. G. Simplicial groups as models for $n$-types. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 38 (1997) no. 1, pp. 67-92. http://www.numdam.org/item/CTGDC_1997__38_1_67_0/
[1] and , A model structure for the homotopy category of crossed complexes, Cahiers de Top. et Géom. Diff. Cat. 30 (1989), 61-82. | Numdam | MR | Zbl
[2] , Estructuras de modelos de Quillen para categorías que modelan algebraicamente tipos de homotopía de espacios, Ph.D.thesis, Univ. Granada, (1993).
[3] and , Closed model structures for algebraic models of n-types, J. of Pure and Applied Algebra 103, (1995), 287-302. | MR | Zbl
[4] and , Quillen's theory for algebraic model of n-types, Extracta Math. Vol 9, No 1, (1904), 42-48. | MR | Zbl
[5] and , Group theoretic algebraic models for homotopy types, J. of Pure and Applied Algebra 75, (1991), 195-235. | MR | Zbl
[6] , Quillen closed model structures for sheaves, to appear in J. of Pure and Applied Algebra. | MR | Zbl
[7] , Simplicial homotopy theory, Advances in Math. 6 (1971), 107-209. | MR | Zbl
[8] and , Relatiotis between homology and homotopy groups, Proc. Nat. Acad. Sci. USA 29, (1943). | Zbl
[9] , , Closed model categories for the n-type of spaces and simplicial sels, Math. proc. Camb. Phil. Soc., (1995). | Zbl
[10] , and , A closed model category for (n - 1)-connected spaces, preprint, (1995).
[11] and , Calculus of Fractions and Homotopy theory, Ergebnisse der Mathematik, vol. 35, Springer-Verlag, Berlin (1967). | MR | Zbl
[12] , Realization of cohomolgy classes in arbitrary exact categories, J. of Pure and Applied Algebra, 25, (1982), 33-107: | MR | Zbl
[13] , Groups with multiple operators, Proc. London Math. Soc. 6, (1956), 366-416. | MR | Zbl
[14] and , Categorical models of n-types for pro-crossed complexes and Jn-spaces, L.N. in Math. 1509, (1992), 148-185. | Zbl
[15] , On hnntntopy theory and CSS groups, Ann. of Math. 68, (1958), 38-53. | Zbl
[16] , Simplicial objects in algebraic topology, Nostrand, New York, (1976). | MR | Zbl
[17] , n-types of simplicial groups and crossed n-cubes, Topology 32, 1 (1993), 5-24. | MR | Zbl
[18] , Homotopical Algebra, L.N. in Math 43, Springer (1967). | MR | Zbl
[19] , Rational Homotopy Theory, Ann. of Math. 90, (1969). | MR | Zbl
[20] , Combinatorial Homotopy I and II, Bull. Amer. Soc. 55, (1949), 213-245 and 496-543. | MR | Zbl
