论文标题

非紧密歧管的简单体积的光谱

The spectrum of simplicial volume of non-compact manifolds

论文作者

Heuer, Nicolaus, Loeh, Clara

论文摘要

我们表明,在尺寸至少$ 4 $中,一组定向连接的开放流形的本地有限的简单卷为$ [0,\ infty] $。此外,我们考虑了温和的开放流形和一些低维示例的情况。

We show that, in dimension at least $4$, the set of locally finite simplicial volumes of oriented connected open manifolds is $[0, \infty]$. Moreover, we consider the case of tame open manifolds and some low-dimensional examples.

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