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arXiv 1502.07800math.AT
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离散G-谱和模谱的嵌入

Discrete G-Spectra and embeddings of module spectra

Takeshi Torii

摘要:

本文研究了投射有限群G的离散G-谱范畴。考虑谱中的模对象到离散G-谱中的一类模对象的嵌入,研究了这种嵌入与同伦不动点函子之间的关系.我们还考虑了嵌入的模对象的准范畴,并表明这两种配方的嵌入是等价的,在某些情况下。

英文摘要:

In this paper we study the category of discrete G-spectra for a profinite group G. We consider an embedding of module objects in spectra into a category of module objects in discrete G-spectra, and study the relationship between the embedding and the homotopy fixed points functor. We also consider an embedding of module objects in terms of quasi-categories, and show that the two formulations of embeddings are equivalent in some circumstances.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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