Geodesic
On finite induced crossed modules and the homotopy 2-type of mapping cones,
Theory and applications of categories, Tome 1 (1995), pp. 54-71

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

Results on the finiteness of induced crossed modules are proved both algebraically and topologically. Using the Van Kampen type theorem for the fundamental crossed module, applications are given to the 2-types of mapping cones of classifying spaces of groups. Calculations of the cohomology classes of some finite crossed modules are given, using crossed complex methods.

Classification : 18G10, 20F38, 55P15, 55Q20.
Keywords: crossed modules, homotopy 2�types, generalised van Kampen Theo� rem, crossed resolution, Postnikov invariant. 
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     title = {On finite induced crossed modules and the homotopy 2-type of mapping cones,},
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     volume = {1},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_1995_1_a2/}
}
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Ronald Brown; Christopher D. Wensley. On finite induced crossed modules and the homotopy 2-type of mapping cones,. Theory and applications of categories, Tome 1 (1995), pp. 54-71. http://geodesic.mathdoc.fr/item/TAC_1995_1_a2/