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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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      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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