On dimensions of groups with cocompact classifying spaces for proper actions
On dimensions of groups with cocompact classifying spaces for proper actions
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关于具有协紧分类空间的群的维数以进行适当的操作
DOI：
10.1016/j.aim.2017.03.008
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发表时间：
2015
影响因子：
1.7
通讯作者：
N. Petrosyan
中科院分区：
文献类型：
--
作者：
I. Leary;N. Petrosyan
我们构造了一个群G，它的虚上同调维和虚上同调维严格小于E_G的任一模型的极小维，即G的真作用的分类空间。它们是第一个具有这些性质的例子，并且也允许E_G的上紧模型。我们证明了群G的虚上同调维和Bredon上同调维为2且不允许任何二维可收缩的真G-CW-复形。
We construct groups G that are virtually torsion-free and have virtual cohomological dimension strictly less than the minimal dimension for any model for E _ G, the classifying space for proper actions of G. They are the first examples that have these properties and also admit cocompact models for E _ G. We exhibit groups G whose virtual cohomological dimension and Bredon cohomological dimension are two that do not admit any 2-dimensional contractible proper G-CW-complex.