Prerequisites (on equivariant stable homotopy) for Carlssons's lecture

Prerequisites (on equivariant stable homotopy) for Carlssons's lecture
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Carlssons 讲座的先决条件(关于等变稳定同伦)

DOI:
10.1007/bfb0075584
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发表时间:
1984
影响因子:
0.7
通讯作者:
J. F. Adams
J. F. Adams
中科院分区:
数学3区
文献类型:
--
作者:
J. F. Adams

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剑桥 CB2 ISB 英格兰 §i。介绍。可以做三件事来帮助那些希望理解 Carlsson 在 Seqal 伯恩赛德环猜想方面的工作的人 [8]。首先,人们可以尝试对塞卡尔的伯恩赛德环猜想进行一般性阐述,包括其非等变形式和等变形式。其次,可以解释一下我和古纳瓦德纳、米勒对 G = (Zp) n 的情况进行计算得到的结果。 (这是相关的,因为卡尔森使用了这些结果。)第三,人们可能会尝试对等变稳定同伦进行一般介绍。在我在奥胡斯的演讲中,我试图就这三个主题发表一些看法,但由于时间不够,我被迫省略了我准备好的内容的一个重要部分。在这篇发表的文章中,我将省略第一和第二个主题,并尝试更好地公正对待第三个主题。
Cambridge CB2 ISB ENGLAND §i. Introduction. Three things might be done to help those who wish to understand Carlsson's work on Seqal's Burnside Ring Conjecture [8]. First, one might attempt a general exposition about Seqal's Burnside Ring Conjecture, both in its non-equivariant and in its equivariant forms. Secondly, one might explain the results which Gunawardena, Miller and myself have obtained by calculation for the case G = (Zp) n. (This is relevant because Carlsson uses these results.) Thirdly, one might attempt a general introduction to equivariant stable homotopy. In the lecture I gave in Aarhus, I tried to say something on all three topics, but for lack of time I was forced to omit an important part of what I had prepared. In this published text I shall omit the first and second topics, and try to do better justice to the third.