论文标题
在自由全球光谱上
On free global spectra
论文作者
论文摘要
在本说明中,我们定义和研究免费的全球光谱:仅在小组中具有非平凡的几何固定点的全球光谱。我们表明,自由的全球光谱通常不存在,当它们这样做时,它们的同型群体满足了强大的可驱缘性条件。作为一个应用程序,我们表明通用免费$ g $ -spectrum $ eg _+$不承认全球精致。
In this note we define and study free global spectra: global spectra with non-trivial geometric fixed points only at the trivial group. We show that free global spectra often do not exist, and when they do, their homotopy groups satisfy strong divisibility conditions. As an application, we show that the universal free $G$-spectrum $EG_+$ does not admit a global refinement.