Rational homology manifolds and rational resolutions (Q1296282)

The author continues his very fine work in cohomological dimension. He proves that every compactum \(X\), having rational dimension \(n\), is an image under a rationally acyclic map of an \((n+1)\)-dimensional compactum \(Y\). If \(n>1\), then \(\dim_QY=n\). As a consequence he obtains existence of rational homology \(k\)-manifolds with covering dimension greater than \(k\).