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math.AT2008★ 4 cited
Algebraic colimit calculations in homotopy theory using fibred and cofibred categories
Ronald Brown, Rafael Sivera
Higher Homotopy van Kampen Theorems allow the computation as colimits of certain homotopical invariants of glued spaces. One corollary is to describe homotopical excision in critic…
math.AT2006★ 6 cited
Normalisation for the fundamental crossed complex of a simplicial set
Ronald Brown, Rafael Sivera
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 A…