Homotopy Theory: Proceedings of the Durham Symposium 1985: Global methods in homotopy theory
Homotopy Theory: Proceedings of the Durham Symposium 1985: Global methods in homotopy theory
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同伦理论：1985 年达勒姆研讨会论文集：同伦理论的全局方法
DOI：
10.1017/cbo9781107325746.005
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发表时间：
1987
影响因子：
0.9
通讯作者：
M. Hopkins
中科院分区：
文献类型：
--
作者：
M. Hopkins
这是一份报告的联合工作与伊桑Devinatz和杰夫史密斯有关的结果，全球性质的稳定同伦理论。这些结果中的大多数都以这样或那样的方式被Doug Ravenel所证实，并描述了某些”周期现象“的组织。”《清史稿》（卷113）：“以文为文，以文为文。稳定同伦理论中存在周期现象的观点起源于亚当斯关于G.怀特黑德的J-同态J-同态是从稳定正交群的同伦群到球面的稳定同伦群的映射。稳定正交群的同伦群最显著的特征可能是Bott周期性。亚当斯通过为每个素数产生自映射，在稳定同伦理论中发现了这种周期性的几何表现
This is a report on joint work with Ethan Devinatz and Jeff Smith concerning results of a global nature in stable homotopy theory. Most of these results were in one way or another conjectured by Doug Ravenel and describe the organization of certain" periodic phenomena." general discussion of Ravenel's conjectures see [13] and [14]. For aThe The idea that there are periodic phenomena in stable homotopy theory originates in Adams' work [2] on G. Whitehead's J-homomorphism. J-homomorphism is a map from the homotopy groups of the stable orthogonal group to the stable homotopy groups of spheres. Probably the most striking feature of the homotopy groups of the stable orthogonal group is Bott periodicity. Adams found a geometric manifestation of this periodicity in stable homotopy theory by producing for each prime pa self map