Algebraic & Geometric Topology Volume 9, issue 1 (2009)

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A curious example of triangulated-equivalent model categories which are not Quillen equivalent

Daniel Dugger and Brooke Shipley

Algebraic & Geometric Topology 9 (2009) 135–166

DOI: 10.2140/agt.2009.9.135

Bibliography

1	J E Aisbett, E Lluis-Puebla, V Snaith, On $K_{}(\mathbf{Z}/n)$ and $K_{}(\mathbf{F}_q[t]/(t^2))$, Mem. Amer. Math. Soc. 57, 329 (1985) MR803974
2	H J Baues, F Muro, Cohomologically triangulated categories. I, J. K–Theory 1 (2008) 3 MR2424565
3	D Dugger, Spectral enrichments of model categories, Homology, Homotopy Appl. 8 (2006) 1 MR2205213
4	D Dugger, B Shipley, $K$–theory and derived equivalences, Duke Math. J. 124 (2004) 587 MR2085176
5	D Dugger, B Shipley, Postnikov extensions of ring spectra, Algebr. Geom. Topol. 6 (2006) 1785 MR2263050
6	D Dugger, B Shipley, Enriched model categories and an application to additive endomorphism spectra, Theory Appl. Categ. 18 (2007) 400 MR2342167
7	D Dugger, B Shipley, Topological equivalences for differential graded algebras, Adv. Math. 212 (2007) 37 MR2319762
8	L Evens, E M Friedlander, On $(K_{}(\mathbf{Z}/p^{2}\mathbf{Z})$ and related homology groups*, Trans. Amer. Math. Soc. 270 (1982) 1 MR642328
9	T Geisser, On $K_3$ of Witt vectors of length two over finite fields, $K$–Theory 12 (1997) 193 MR1480590
10	P S Hirschhorn, Model categories and their localizations, Mathematical Surveys and Monographs 99, Amer. Math. Soc. (2003) MR1944041
11	M Hovey, Model categories, Mathematical Surveys and Monographs 63, Amer. Math. Soc. (1999) MR1650134
12	B Keller, Deriving DG categories, Ann. Sci. École Norm. Sup. $(4)$ 27 (1994) 63 MR1258406
13	J Milnor, The Steenrod algebra and its dual, Ann. of Math. $(2)$ 67 (1958) 150 MR0099653
14	F Muro, Triangulated categories with universal Toda bracket
15	D G Quillen, Homotopical algebra, Lecture Notes in Mathematics 43, Springer (1967) MR0223432
16	O Renaudin, Théories homotoiques de Quillen combinatoires et dérivateurs de Grothendieck, preprint (2006) arXiv:math.AT/0603339
17	M Schlichting, A note on $K$–theory and triangulated categories, Invent. Math. 150 (2002) 111 MR1930883
18	S Schwede, B Shipley, Algebras and modules in monoidal model categories, Proc. London Math. Soc. $(3)$ 80 (2000) 491 MR1734325
19	S Schwede, B Shipley, Stable model categories are categories of modules, Topology 42 (2003) 103 MR1928647
20	B Shipley, $H\mathbb Z$–algebra spectra are differential graded algebras, Amer. J. Math. 129 (2007) 351 MR2306038
21	B Toën, G Vezzosi, A remark on $K$–theory and $S$–categories, Topology 43 (2004) 765 MR2061207