Topological realizations of chain complexes. II: The rational case
This paper addresses the following question: Given a group G and a QG- projective chain complex T, does there exist a topological space X with fundamental group isomorphic to G whose equivariant chain complex is T? The paper develops an algebraic obstruction theory for answering this question. In an important special case, the answer is affirmative: namely, when the canonical map \(X\to K(G,1)\) admits a left-inverse up to homotopy. This paper is a continuation of earlier work of the author in Part I [Topology Appl. 22, 301-313 (1986; Zbl 0589.55009)].
realizations of equivariant chain complexes
scientific article; zbMATH DE number 4133120