Computing crossed modules induced by an inclusion of a normal subgroup, with applications to homotopy 2-types.
Brown, Ronald, Wensley, Christopher D. (1996)
Theory and Applications of Categories [electronic only]
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Displaying similar documents to “Nilpotent crossed modules and pro- completions”
Computing crossed modules induced by an inclusion of a normal subgroup, with applications to homotopy 2-types.
On infinite induced crossed modules and the homotopy 2-type of mapping cones.
Brown, Ronald, Wensley, Christopher D. (1995)
Theory and Applications of Categories [electronic only]
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Freeness conditions for 2-crossed modules and complexes.
Mutlu, A., Porter, T. (1998)
Theory and Applications of Categories [electronic only]
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On categorical crossed modules.
Carrasco, P., Garzon, A.R., Vitale, E.M. (2006)
Theory and Applications of Categories [electronic only]
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Homotopy theory for (braided) cat-groups
Antonio R. Garzon, Jesus G. Miranda (1997)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Algebraic colimit calculations in homotopy theory using fibred and cofibred categories.
Brown, Ronald, Sivera, Rafael (2009)
Theory and Applications of Categories [electronic only]
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Injective models of -disconnected simplicial sets
Marek Golasiński (1997)
Annales de l'institut Fourier
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We generalize the results by G.V. Triantafillou and B. Fine on -disconnected simplicial sets. An existence of an injective minimal model for a complete -algebra is presented, for any -category . We then make use of the -category associated with a -simplicial set to apply these results to the category of -simplicial sets. Finally, we describe the rational homotopy type of a nilpotent -simplicial set by means of its injective minimal model.
Applications of Peiffer pairings in the Moore complex of a simplicial group.
Mutlu, A., Porter, T. (1998)
Theory and Applications of Categories [electronic only]
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Actions and automorphisms of crossed modules
Katherine Norrie (1990)
Bulletin de la Société Mathématique de France
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Crossed squares and 2-crossed modules of commutative algebras.
Arvasi, Zekeri̇ya (1997)
Theory and Applications of Categories [electronic only]
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