The cellularization principle for Quillen adjunctions

J. P. C. Greenlees; B. Shipley

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arXiv · 1301.5583

The cellularization principle for Quillen adjunctions

J. P. C. Greenlees·B. Shipley

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Abstract

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.

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BibTeX RIS

J. P. C. Greenlees, B. Shipley. 2013-01-23. The cellularization principle for Quillen adjunctions. https://arxiv.org/abs/1301.5583

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