Crossed Simplicial Group Categorical Nerves
نویسندگان
چکیده
منابع مشابه
On Categorical Crossed Modules
The well-known notion of crossed module of groups is raised in this paper to the categorical level supported by the theory of categorical groups. We construct the cokernel of a categorical crossed module and we establish the universal property of this categorical group. We also prove a suitable 2-dimensional version of the kernelcokernel lemma for a diagram of categorical crossed modules. We th...
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Crossed complexes are shown to have an algebra sufficiently rich to model the geometric inductive definition of simplices, and so to give a purely algebraic proof of the Homotopy Addition Lemma (HAL) for the boundary of a simplex. This leads to the fundamental crossed complex of a simplicial set. The main result is a normalisation theorem for this fundamental crossed complex, analogous to the u...
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ژورنال
عنوان ژورنال: Applied Categorical Structures
سال: 2017
ISSN: 0927-2852,1572-9095
DOI: 10.1007/s10485-017-9502-2