Closed model structures for algebraic models of n-types. Journal of Pure and Applied Algebra
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Elsevier
Date
1995Referencia bibliográfica
Cabello, J. G., & Garzón, A. R. (1995). Closed model structures for algebraic models of n-types. Journal of Pure and Applied Algebra, 103(3), 287-302. https://doi.org/10.1016/0022-4049(94)00105-R
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DGICYT: PS90-0226Abstract
In this paper we give a general method to obtain a closed model structure, in the sense of
Quillen, on a category related to the category of simplicial groups by a suitable adjoint
situation. Applying this method, categories of algebraic models of connected types such as those
of crossed modules of groups (2-types), 2-crossed modules of groups (3-types) or, in general.
n-hypercrossed complexes of groups ((n + I)-types), as well as that of n-simplicial groups (all
types), inherit such a closed model structure.