Algebraic & Geometric Topology Volume 13, issue 1 (2013)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Derivators, pointed derivators and stable derivators

Moritz Groth

Algebraic & Geometric Topology 13 (2013) 313–374

DOI: 10.2140/agt.2013.13.313

Bibliography

1	J Ayoub, Les six opérations de Grothendieck et le formalisme des cycles évanescents dans le monde motivique, I, 314, Société Mathématique de France (2007) MR2423375
2	J Ayoub, Les six opérations de Grothendieck et le formalisme des cycles évanescents dans le monde motivique, II, 315, Société Mathématique de France (2007) MR2438151
3	A Beligiannis, Homotopy theory of modules and Gorenstein rings, Math. Scand. 89 (2001) 5 MR1856980
4	A Beligiannis, N Marmaridis, Left triangulated categories arising from contravariantly finite subcategories, Comm. Algebra 22 (1994) 5021 MR1285724
5	J M Boardman, R M Vogt, Homotopy invariant algebraic structures on topological spaces, 347, Springer (1973) MR0420609
6	F Borceux, Handbook of categorical algebra, I : Basic category theory, 50, Cambridge Univ. Press (1994) MR1291599
7	F Borceux, Handbook of categorical algebra, II : Categories and structures, 51, Cambridge Univ. Press (1994) MR1313497
8	D C Cisinski, Images directes cohomologiques dans les catégories de modèles, Ann. Math. Blaise Pascal 10 (2003) 195 MR2031269
9	D C Cisinski, A Neeman, Additivity for derivator K–theory, Adv. Math. 217 (2008) 1381 MR2382732
10	W G Dwyer, J Spaliński, Homotopy theories and model categories, from: "Handbook of algebraic topology" (editor I M James), North-Holland (1995) 73 MR1361887
11	C Ehresmann, Catégories structurées, Ann. Sci. École Norm. Sup. 80 (1963) 349 MR0197529
12	J Franke, Uniqueness theorems for certain triangulated categories with an Adams spectral sequence, preprint (1996)
13	M Groth, A short course on ∞–categories arXiv:1007.2925v1
14	A Grothendieck, Les dérivateurs, manuscript (1991)
15	D Happel, Triangulated categories in the representation theory of finite-dimensional algebras, 119, Cambridge Univ. Press (1988) MR935124
16	A Heller, Homotopy theories, 383, Amer. Math. Soc. (1988) MR920963
17	A Heller, Stable homotopy theories and stabilization, J. Pure Appl. Algebra 115 (1997) 113 MR1431157
18	P S Hirschhorn, Model categories and their localizations, 99, Amer. Math. Soc. (2003) MR1944041
19	M Hovey, Model categories, 63, Amer. Math. Soc. (1999) MR1650134
20	A Joyal, Notes on quasi-categories, preprint (2008)
21	A Joyal, The theory of quasi-categories and its applications, preprint (2008)
22	A Joyal, The theory of quasi-categories, I, preprint (2008)
23	A Joyal, The theory of quasi-categories, II, preprint (2008)
24	B Keller, Derived categories and universal problems, Comm. Algebra 19 (1991) 699 MR1102982
25	B Keller, Appendice : Le dérivateur triangulé associé à une catégorie exacte, from: "Categories in algebra, geometry and mathematical physics" (editors A Davydov, M Batanin, M Johnson, S Lack, A Neeman), Contemp. Math. 431, Amer. Math. Soc. (2007) 369 MR2342837
26	B Keller, D Vossieck, Sous les catégories dérivées, C. R. Acad. Sci. Paris Sér. I Math. 305 (1987) 225 MR907948
27	G M Kelly, Doctrinal adjunction, from: "Proceedings of the Sydney Category Theory Seminar" (editor G M Kelly), Lecture Notes in Math 420, Springer (1974) 257 MR0360749
28	G M Kelly, R Street, Review of the elements of 2–categories, from: "Proceedings of the Sydney Category Theory Seminar", Lecture Notes in Math 420, Springer (1974) 75 MR0357542
29	J Lurie, Higher topos theory, 170, Princeton Univ. Press (2009) MR2522659
30	J Lurie, Higher algebra (2012)
31	G Maltsiniotis, Introduction à la théorie des dérivateurs (d’après Grothendieck), preprint (2001)
32	G Maltsiniotis, La K-théorie d’un dérivateur triangulé, from: "Categories in algebra, geometry and mathematical physics" (editors A Davydov, M Batanin, M Johnson, S Lack, A Neeman), Contemp. Math. 431, Amer. Math. Soc. (2007) 341 MR2342836
33	G Maltsiniotis, Carrés exacts homotopiques et dérivateurs, Cah. Topol. Géom. Différ. Catég. 53 (2012) 3 MR2951712
34	H R Margolis, Spectra and the Steenrod algebra : Modules over the Steenrod algebra and the stable homotopy category, 29, North-Holland (1983) MR738973
35	A Neeman, Triangulated categories, 148, Princeton Univ. Press (2001) MR1812507
36	D G Quillen, Homotopical algebra, 43, Springer (1967) MR0223432
37	D Quillen, Higher algebraic K–theory, I, from: "Algebraic K–theory, I : Higher K–theories" (editor H Bass), Lecture Notes in Math 341, Springer (1973) 85 MR0338129
38	O Renaudin, Plongement de certaines théories homotopiques de Quillen dans les dérivateurs, J. Pure Appl. Algebra 213 (2009) 1916 MR2526867
39	S Schwede, An untitled book project about symmetric spectra, preprint (2007)
40	G Segal, Categories and cohomology theories, Topology 13 (1974) 293 MR0353298
41	A Vistoli, Grothendieck topologies, fibered categories and descent theory, from: "Fundamental algebraic geometry", Math. Surveys Monogr. 123, Amer. Math. Soc. (2005) 1 MR2223406