Free crossed resolutions from simplicial resolutions with given -basis
A. Mutlu, T. Porter (1999)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Displaying similar documents to “Freeness conditions for 2-crossed modules and complexes.”
Free crossed resolutions from simplicial resolutions with given -basis
On infinite induced crossed modules and the homotopy 2-type of mapping cones.
Brown, Ronald, Wensley, Christopher D. (1995)
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Computing crossed modules induced by an inclusion of a normal subgroup, with applications to homotopy 2-types.
Brown, Ronald, Wensley, Christopher D. (1996)
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Nilpotent crossed modules and pro- completions
F. J. Korkes, T. Porter (1990)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Applications of Peiffer pairings in the Moore complex of a simplicial group.
Mutlu, A., Porter, T. (1998)
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Crossed squares and 2-crossed modules of commutative algebras.
Arvasi, Zekeri̇ya (1997)
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On categorical crossed modules.
Carrasco, P., Garzon, A.R., Vitale, E.M. (2006)
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Simplicial T-complexes and crossed complexes: a non-abelian version of a theorem of Dold and Kan
N. Ashley
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CONTENTSPreface (by Ronald Brown)..................................................................5Introduction..........................................................................................7Preliminaries........................................................................................91. T-complexes and crossed complexes.............................................101.1. A groupoid structure for a T-complex..........................................121.2. The isomorphism...
Actions and automorphisms of crossed modules
Katherine Norrie (1990)
Bulletin de la Société Mathématique de France
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A model structure for the homotopy theory of crossed complexes
Ronald Brown, Marek Golasinski (1989)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Coproduct of Crossed A-Modules of R-Algebroids
Osman Avcıoglu, Ibrahim Ilker Akça (2017)
Topological Algebra and its Applications
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In this study we construct, in the category XAlg(R) / A of crossed A-modules of R-algebroids, the coproduct of given two crossed A-modules M = (μ : M → A) and N = (ɳ : N → A) of R-algebroids in two different ways: Firstly we construct the coproduct M ᴼ* N by using the free product M * N of pre-R-algebroids M and N, and then we construct the coproduct M ᴼ⋉ N by using the semidirect product M ⋉ N of M and N via μ. Finally we construct an isomorphism betweenM ᴼ* N and M ᴼ⋉ N.