论文标题

Eilenberg-Maclane空间K(Z/P,2)的结缔组织理论

The connective K-theory of the Eilenberg-MacLane space K(Z/p,2)

论文作者

Davis, Donald M., Wilson, W. Stephen

论文摘要

我们使用ADAMS频谱序列计算Ku^*(k(z/p,2))和ku _*(k(z/p,2)),mod-p eilenberg-maclane空间k(z/p,2)的结缔组织ku-coHomogy和结缔组织ku-词素组。我们获得了H_0扩展和外来扩展之间的惊人相互作用。为了在整体组中建立更高的差异和外来扩展,需要在其他地方计算的MOD-P结缔组织组。

We compute ku^*(K(Z/p,2)) and ku_*(K(Z/p,2)), the connective KU-cohomology and connective KU-homology groups of the mod-p Eilenberg-MacLane space K(Z/p,2), using the Adams spectral sequence. We obtain a striking interaction between h_0-extensions and exotic extensions. The mod-p connective KU-cohomology groups, computed elsewhere, are needed in order to establish higher differentials and exotic extensions in the integral groups.

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