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Covering morphisms of crossed complexes and of cubical omega-groupoids with connection are closed under tensor product
Covering morphisms of crossed complexes omega-groupoids connection
2010/12/14
The aim is the theorems of the title and the corollary that the tensor product of two free crossed resolutions of groups or groupoids is also a free crossed resolution of the product group or groupoid...
Crossed N-cubes and n-crossed Complexes of Commutative Algebras
Crossed N-cubes Commutative Algebras n-crossed Complexes
2010/3/4
In this paper we will define crossed \Bbb N-cubes and n-crossed complexes of commutative algebras and construct a functor from the category of simplicial algebras to that of n-crossed complexes.
In this paper, we will give a short proof of the construction of the crossed complex of groups by using the higher order Peiffer elements.