Generalized higher order cohomology operations and stable homotopy groups of spheres
Generalized higher order cohomology operations and stable homotopy groups of spheres
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DOI：
10.1016/0001-8708(76)90200-0
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发表时间：
1976-06
影响因子：
1.7
通讯作者：
E. Thomas;R. Zahler
中科院分区：
文献类型：
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作者：
E. Thomas;R. Zahler
对于素数p>；7，我们已经发现了在球体的稳定同伦群中检测p-主元素族的技术。这些元素是使用被称为V(N)的某些稳定胞格复合体来构造的，当p足够大时(取决于n)，这些元胞复合体似乎存在。在p-初等Brown-Peterson谱BP给出的上同调理论中，它们被高阶运算检测(证明为非零)。特别是，我们有
We have discovered techniques for detecting families of p-primary elements in the stable homotopy groups of the spheres, for primes p> 7. These elements are constructed using certain stable cell complexes called V (n), which seem to exist when p is sufficiently large (depending on n). They are detected (proved nonzero) by higher order operations in the cohomology theory given by the p-primary Brown-Peterson spectrum BP. In particular, we have