zbMATH — the first resource for mathematics

An obstruction theory for diagrams of simplicial sets. (English) Zbl 0555.55018
From the authors’ summary: ”We describe a version of obstruction theory for simplicial sets, which involves canonical obstruction cocycles and then use this to obtain a similar theory for diagrams of simplicial sets. An application of the latter (to the problem of realizing diagrams in the homotopy category by means of diagrams of simplicial sets) will be given in Proc. Am. Math. Soc. 91, 456-460 (1984; Zbl 0514.55020).”
Reviewer: W.M.Krueger

55S35 Obstruction theory in algebraic topology
55U10 Simplicial sets and complexes in algebraic topology
55P99 Homotopy theory