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      The cellularization principle for Quillen adjunctions

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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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          Most cited references 3

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          Model Categories and Their Localizations

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            Complete modules and torsion modules

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              An algebraic model for free rational G-spectra for connected compact Lie groups G

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                Author and article information

                Journal
                2013-01-23
                2013-05-16
                1301.5583

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                Custom metadata
                55P42, 55P62, 55P91, 55N91
                Final version, to appear in Homology, Homotopy and Applications. arXiv admin note: text overlap with arXiv:1101.2511
                math.AT

                Geometry & Topology

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