Smashing subcategories and the telescope conjecture - An algebraic approach

Inventiones Mathematicae

Volumn 139, Issue 1, 2000, Pages 99-133

  Krause, Henning ^a  

^a BIELEFELD UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034340688     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002229900022     Document Type: Article

References (28)

1. J.F. Adams, A variant of E.H. Brown's representabilty theorem, Topology 10 (1971), 185-198
2. M. Auslander, S.O. Smalø, Preprojective modules over artin algebras, J. Algebra 66 (1980), 61-122
3. A. Beligiannis, On the Freyd categories of an additive category, Preprint (1996)
4. A. Beligiannis, Homological algebra in triangulated categories I, Preprint, UNAM, Mexico (1997)
5. D.J. Benson, G.P. Gnacadja, Phantom maps and purity in modular representation theory I, Fund. Math., to appear
6. A.K. Bousfield, The localization of spectra with respect to homology, Topology 18 (1979), 257-281
7. P.M. Cohn, On the free product of associative rings, Math. Z. 71 (1959), 380-398
8. J.D. Christensen, N.P. Strickland, Phantom maps and homology theories, Topology 37 (1998), 339-364
9. P. Gabriel, Des catégories abéliennes, Bull. Soc. Math. France 90 (1962), 323-448
10. P. Gabriel, M. Zisman, Calculus of fractions and homotopy theory, Springer Verlag, Berlin (1967)
11. A. Grothendieck, J.L. Verdier, Prefaisceaux, in: Théorie des Topos et Cohomologie Etale des Schémas, Springer Lect. Notes 269 (1972), 1-217
12. D. Happel, Triangulated categories in the representation theory of finite dimensional algebras, London Math. Soc. Lect. Notes 119 (1988)
13. C.U. Jensen, H. Lenzing, Model theoretic algebra, Gordon and Breach, New York (1989)
14. B. Keller, A remark on the generalized smashing conjecture, Manus. Math. 84 (1994), 193-198
15. H. Krause, The spectrum of a locally coherent category, J. Pure Appl. Algebra 114 (1997), 259-271
16. H. Krause, Stable equivalence preserves representation type, Comment. Math. Helv. 72 (1997), 266-284
17. H. Krause, Exactly definable categories, J. Algebra 201 (1998), 456-492
18. H. Krause, The spectrum of a module category, Habilitationsschrift, Universität Bielefeld (1998), Mem. Am. Math. Soc., to appear
19. A. Neeman, The Connection between the K-theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel, Ann. Sci. École Norm. Sup. (4) 25 (1992), 547-566
20. A. Neeman, The Grothendieck duality theorem via Bousfield's techniques and Brown representability, J. Amer. Math. Soc. 9 (1996), 205-236
21. A. Neeman, On a theorem of Brown and Adams, Topology 36 (1997), 619-645
22. O. Oberst, H. Rohrl, Flat and coherent functors, J. Algebra 14 (1970), 91-105
23. D.C. Ravenel, Localization with respect to certain periodic homology theories, Amer. J. Math. 106 (1984), 351-414
24. D.C. Ravenel, Progress report on the telescope conjecture, in: N. Ray, G. Walker (eds.), Adams Memorial Symposium on Algebraic Topology, vol. 2, Cambridge (1992), 1-21
25. B. Stenstrøm, Rings of quotients, Springer-Verlag (1975)
26. J.L. Verdier, Catégories derivées, état 0, Springer Lect. Notes 569 (1977), 262-311
27. J.L. Verdier, Des catégories dérivées des catégories abéliennes, Astérisque 239 (1996)
28. M. Ziegler, Model theory of modules, Ann. Pure Appl. Logic 26 (1984), 149-213