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math.AT2002★ 1 cited
Computation and Homotopical Applications of Induced Crossed Modules
Ronald Brown, Christopher D. Wensley
We explain how the computation of induced crossed modules allows the computation of certain homotopy 2-types and, in particular, second homotopy groups. We discuss various issues i…
math.AT2002
Galois theory and a new homotopy double groupoid of a map of spaces
R. Brown, G. Janelidze
The authors have used generalised Galois Theory to construct a homotopy double groupoid of a surjective fibration of Kan simplicial sets. Here we apply this to construct a new homo…