连接词

IF 0.5 4区数学 Q3 MATHEMATICS

Glasgow Mathematical Journal Pub Date : 2023-12-11 DOI:10.1017/s0017089523000423

Donald M. Davis, W. Stephen Wilson

引用次数: 0

摘要

我们计算$ku^*\left(K\!\left({\mathbb{Z}}_p,2\right)\right)$和$ku_*\left(K\！\left({\mathbb{Z}}_p,2\right))$、模-$p$艾伦伯格-麦克莱恩空间 $K\!我们得到了 $h_0$ 扩展与奇异扩展之间的惊人互动。为了在积分群中建立高微分和奇异扩展，我们需要在其他地方计算出模-$p$连通$KU$-同调群。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The connective

We compute $ku^*\left(K\!\left({\mathbb{Z}}_p,2\right)\right)$ and $ku_*\left(K\!\left({\mathbb{Z}}_p,2\right)\right)$, the connective $KU$-cohomology and connective $KU$-homology groups of the mod-$p$ Eilenberg–MacLane space $K\!\left({\mathbb{Z}}_p,2\right)$, 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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来源期刊

Glasgow Mathematical Journal 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Glasgow Mathematical Journal publishes original research papers in any branch of pure and applied mathematics. An international journal, its policy is to feature a wide variety of research areas, which in recent issues have included ring theory, group theory, functional analysis, combinatorics, differential equations, differential geometry, number theory, algebraic topology, and the application of such methods in applied mathematics. The journal has a web-based submission system for articles. For details of how to to upload your paper see GMJ - Online Submission Guidelines or go directly to the submission site.