分类空间上可服从覆盖的有界上同调

C. Loeh, Roman Sauer
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引用次数: 14

摘要

Gromov和Ivanov为可调盖的有界上同调建立了Leray可收缩盖上同调定理的一个类似。我们用子群族的分类空间给出了这一事实的另一个证明。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Bounded cohomology of amenable covers via classifying spaces
Gromov and Ivanov established an analogue of Leray's theorem on cohomology of contractible covers for bounded cohomology of amenable covers. We present an alternative proof of this fact, using classifying spaces of families of subgroups.
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