1) homotopy group of sphere 球的同伦群2) Stable homotopy groups of spheres 球面稳定同伦群 1. To determine the stable homotopy groups of spheres is not only one of the central problems in homotopy theory,but also a very difficult problem. 决定球面稳定同伦群是同伦中的一个中心问题,同时也是...
同伦3-球面3) Stable homotopy groups of spheres 球面稳定同伦群 1. To determine the stable homotopy groups of spheres is not only one of the central problems in homotopy theory,but also a very difficult problem. 决定球面稳定同伦群是同伦中的一个中心问题,同时也是非常困难的问题之一。4...
Xiugui LIU~*(Dedicated to Professor Jinkun Lin on His 65th Birthday) * School of Mathematical Sciences and LPMC,Nankai University,Tianjin 300071,China..Chinese Annals of Mathematics. 2008(03)X. Liu, Detection of some elements in the stable homotopy groups of spheres, Chi- nese Ann. Math. ...
3 Homotopy groups and the chromatic filtration In this section we will describe the homotopy groups of spheres, which make up one of the messiest but most fundamental objects in algebraic topology. First we must define them. 3.1 The definition of homotopy groups The following definition is origina...
homotopy groups [hō′mäd·ə·pē ‚grüps] (mathematics) Associated to a topological spaceX,the groups appearing for each positive integern,which reflect the number of different ways (up to homotopy) than ann-dimensional sphere may be mapped toX. ...
Now lets go to the same group of spheres. The vertices have no boundaries, but the difference between the two vertices must be the boundary of the edge, A - B = d (BA) In the language of poinkale, A minus B is the edge chain, which is going to be equal to 0, which means ...
We provide a sufficient condition for the nontriviality of the Lipschitz homotopy group of the Heisenberg group, ${\pi_m^{\rm Lip}(\mathbb{H}_n)}$ , in terms of properties of the classical homotopy group of the sphere, ${\pi_m(\mathbb{S}^n)}$ . As an application we provide a...
Equivariant stable homotopy groups of spheres with linear involutions were first discussed by Bredon [4, 5] and then by Landweber [10]. But the precise results of computation are not published except a few number of examples even though it seems that they computed these groups to a certain ...
在一年 2002 ,林在在亚当斯被代表由的范围 πt -6S 的稳定的 homotopy 组检测了一个重要家庭光谱顺序,在哪儿 t = 2p (n)( p - 1 )+ 6 ( p ( 2 )+ p + 1 )( p - 1 )并且 p ≥ 7 是一个素数。这篇文章概括结果并且在在亚当斯被代表由的范围 πt 1-s-6S 的稳定的 homotopy 组证明过...