Rational homology manifolds and rational resolutions
type: Item
instance of: scholarly article
title: Rational homology manifolds and rational resolutions
zbMATH Open document ID: 0929.55001
DOI: 10.1016/S0166-8641(98)00026-1
published in: Topology and its Applications
publication date: 2000-01-25T00:00:00Z
review text: 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 \(k\).
Mathematics Subject Classification ID: 55M10
Mathematics Subject Classification ID: 55P62
Mathematics Subject Classification ID: 14G05
zbMATH DE Number: 1317224
zbMATH Keywords: covering dimension
author: Alexander Dranishnikov
reviewed by: Joachim Grispolakis
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1317224