Rational homology manifolds and rational resolutions

被引：7
|
作者：
Dranishnikov, AN [1 ]
机构：
[1] Univ Florida, Dept Math, Gainesville, FL 32611 USA
来源：
TOPOLOGY AND ITS APPLICATIONS | 1999年 / 94卷 / 1-3期
关键词：
homology manifolds; cohomological dimension; acyclic map;
D O I：
10.1016/S0166-8641(98)00026-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove 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 additionally dim(Q) Y = n. As a consequence we obtain existence of rational homology k-manifolds with covering dimension greater than k. (C) 1999 Elsevier Science B.V. All rights reserved.
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页码：75 / 86
页数：12
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