Diagram spaces, diagram spectra and spectra of units
Diagram spaces, diagram spectra and spectra of units
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图空间、图谱和单位谱
DOI：
10.2140/agt.2013.13.1857
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发表时间：
2009
影响因子：
0.7
通讯作者：
John A. Lind
中科院分区：
文献类型：
--
作者：
John A. Lind
本文比较了与对称谱、正交谱和EKMM S -模相关的无限环路空间。这些结构光谱的每一类都有一个相应的结构空间的类别，它接受无限循环空间函子。我们证明了这些空间模型是Quillen等价的，并且证明了无限循环空间函子是一致的。然后用这一比较证明了交换环谱R的单位g1r的谱的两种不同结构是一致的。55p42、55p43、55p47、55u35、55u40；55 p48, 18 g55
This article compares the infinite loop spaces associated to symmetric spectra, orthogonal spectra and EKMM S‐modules. Each of these categories of structured spectra has a corresponding category of structured spaces that receives the infinite loop space functor � 1 . We prove that these models for spaces are Quillen equivalent and that the infinite loop space functors � 1 agree. This comparison is then used to show that two different constructions of the spectrum of units gl 1 R of a commutative ring spectrum R agree. 55P42, 55P43, 55P47, 55U35, 55U40; 55P48, 18G55