The cellularization principle for Quillen adjunctions

The cellularization principle for Quillen adjunctions
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Quillen 附加物的细胞化原理

DOI:
10.4310/hha.2013.v15.n2.a11
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发表时间:
2013
期刊:
arXiv: Algebraic Topology
影响因子:
--
通讯作者:
B. Shipley
B. Shipley
中科院分区:
--
文献类型:
--
作者:
J. Greenlees;B. Shipley

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胞化原理指出,在相当弱的条件下,稳定模型范畴的Quillen附加在胞化上诱导Quillen等价,只要在胞元上存在派生等价。我们给出了一个证明和一系列的例子。这里的主要结果最初是作为ARXIV:1101.2511的附录提出的。然而,细胞化原理还有许多其他的应用,本文将对其进行探讨。Arxiv:1101.2511v3中的材料将修改为参考本文。
The Cellularization Principle states that under rather weak conditions a Quillen adjunction of stable model categories induces a Quillen equivalence on cellularizations provided there is a derived equivalence on cells. We give a proof together with a range of examples. The main result here was originally presented as an appendix of arXiv:1101.2511. However, the Cellularization Principle has many other applications which are explored here. The material in arXiv:1101.2511v3 will be revised to refer to this paper.
稳定的左右布菲尔德定位
DOI: 10.1017/s0017089512000882
发表时间: 2013
影响因子: 0.5
作者:
BARNES D
通讯作者: BARNES D