The cellularization principle for Quillen adjunctions
Algebraic Topology
2013-05-17 v2
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.
Cite
@article{arxiv.1301.5583,
title = {The cellularization principle for Quillen adjunctions},
author = {J. P. C. Greenlees and B. Shipley},
journal= {arXiv preprint arXiv:1301.5583},
year = {2013}
}
Comments
Final version, to appear in Homology, Homotopy and Applications. arXiv admin note: text overlap with arXiv:1101.2511