On homology of complements of compact sets in Hilbert cube

被引：1

作者：

Amarasinghe, Ashwini ^{[1
]}

Dranishnikov, Alexander ^{[1
]}

机构：

[1] Univ Florida, Dept Math, 358 Little Hall, Gainesville, FL 32611 USA

来源：

TOPOLOGY AND ITS APPLICATIONS | 2017年 / 221卷

基金：

美国国家科学基金会;

关键词：

Cohomological dimension; Infinite-dimensional compacta;

D O I：

10.1016/j.topol.2017.02.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the notion of cohomologically weakly infinite-dimensional spaces and show the acyclicity of the complement Q \ X in the Hilbert cube Q of a cohomologically weakly infinite-dimensional compactum X. As a corollary we obtain the acyclicity of the complement results when (a) X is weakly infinite-dimensional; (b) X has finite cohomological dimension. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：262 / 269

页数：8

共 50 条

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