THE CELLULARIZATION PRINCIPLE FOR QUILLEN ADJUNCTIONS

@inproceedings{Shipley2013THECP,
  title={THE CELLULARIZATION PRINCIPLE FOR QUILLEN ADJUNCTIONS},
  author={Brooke E. Shipley},
  year={2013}
}
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. 

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SHOWING 1-8 OF 8 REFERENCES

Model categories and their localizations

  • P. S. Hirschhorn
  • Mathematical Surveys and Monographs,
  • 2003
2 Excerpts

Greenlees The equivalence of categories of torsion and complete modules

  • A. D. Elmendorf, I. Kriz, M. A. Mandell
  • American Journal of Mathematics
  • 2002

Model categories

  • M. Hovey
  • Mathematical Surveys and Monographs, 63, American…
  • 1999
1 Excerpt

Axiomatic stable homotopy theory

  • M. Hovey, J. H. Palmieri, N. P. Strickland
  • Mem. Amer. Math. Soc. 128
  • 1997

Rings

  • A. D. Elmendorf, I. Kriz, M. A. Mandell, J. P. May
  • Modules and Algebras in Stable Homotopy Theory…
  • 1996
1 Excerpt

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