On Equivariant Maps Between Spheres with Involutions
On Equivariant Maps Between Spheres with Involutions
复制标题
关于对合球体之间的等变映射
DOI：
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发表时间：
1969
期刊：
影响因子：
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通讯作者：
P. Landweber
中科院分区：
文献类型：
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作者：
P. Landweber
P：w~nn 1 -* Z（见[7，p.271]和[8，Th.”[10]这是一个比喻。在[8]的基础上，A]，则只需要在n _ 0（4），n > 0的情况下将整除关系改进2倍.然而，这是一个微妙的问题，是通过亚当斯操作等变KO理论。文[7]的主要定理是群wn（r，q; t）的周期性。本说明的第二个目的是表明，这些群可以被看作是配边群，并且周期性可以直接遵循。这种观点也导致了wn（r，q; t）与一个发育不良的真实的射影空间的一个合适的稳定同伦（或上同伦）群的同构。感谢M教授。Atiyah和G.布莱登有益的谈话。
P: w~nn 1 -* Z (see [7, p. 271] and [8, Th. A]), thereby verifying a conjecture of Bredon. In view of [8, Th. A], it only remains to improve a divisibility relation by a factor of 2 in case n _ 0(4), n > 0. However this is a delicate matter and is accomplished by means of Adams operations in equivariant KO-theory. The main theorem of [7] is a periodicity for the groups wn(r, q; t). A second aim of this note is to show that these groups may be viewed as cobordism groups, and that the periodicity then follows directly. This point of view also leads to an isomorphism of wn(r, q; t) with a suitable stable homotopy (or cohomotopy) group of a stunted real projective space. I would like to thank Professors M. Atiyah and G. Bredon for helpful conversations.