An obstruction theory for diagrams of simplicial sets. (English) Zbl 0555.55018

Dwyer, W. G.; Kan, D. M.

Indag. Math. 46, 139-146 (1984).

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

MSC:

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

Keywords:

realizing diagrams in the homotopy category by diagrams of simplicial sets; obstruction theory