Functoriality of the standard resolution of the Cartesian product of a compactum and a polyhedron. II
In the context of the shape and strong shape theory of compact Hausdorff spaces, one replaces such a space \(X\) by a resolution \(R(X)\) of \(X\), typically by finite polyhedra. Previously, the author [Topology Appl. 133, No.~1, 37--63 (2003; Zbl 1037.54010)] showed how to construct a resolution \(R(X,K)\) of \(X\times P\), where \(K\) is a simplicial complex with realisation \(P\). Subsequently he showed that \(R(X,K)\) was functorial in the first variable. Here it is proved to be functorial in the second variable as well. [For Part I, cf. \textit{S. Mardešić}, Topology Appl. 155, No.~1, 1--32 (2007; Zbl 1139.54011).]
scientific article; zbMATH DE number 5346271