The connection between the K -theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel

Amnon Neeman

Annales scientifiques de l'École Normale Supérieure (1992)

  • Volume: 25, Issue: 5, page 547-566
  • ISSN: 0012-9593

How to cite

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Neeman, Amnon. "The connection between the $K$-theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel." Annales scientifiques de l'École Normale Supérieure 25.5 (1992): 547-566. <http://eudml.org/doc/82328>.

@article{Neeman1992,
author = {Neeman, Amnon},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {localization theorem for -theory; triangulated categories; épaisse closure; derived category of quasicoherent sheaves; abelian categories},
language = {eng},
number = {5},
pages = {547-566},
publisher = {Elsevier},
title = {The connection between the $K$-theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel},
url = {http://eudml.org/doc/82328},
volume = {25},
year = {1992},
}

TY - JOUR
AU - Neeman, Amnon
TI - The connection between the $K$-theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1992
PB - Elsevier
VL - 25
IS - 5
SP - 547
EP - 566
LA - eng
KW - localization theorem for -theory; triangulated categories; épaisse closure; derived category of quasicoherent sheaves; abelian categories
UR - http://eudml.org/doc/82328
ER -

References

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  1. [BN] M. BÖKSTEDT and A. NEEMAN, Homotopy Limits in Triangulated Categories, Preprint. Zbl0802.18008
  2. [B1] A. K. BOUSFIELD, The Localization of Spaces with Respect to Homology, (Topology, vol. 14, 1975, pp. 133-150). Zbl0309.55013MR52 #1676
  3. [B2] A. K. BOUSFIELD, The Localization of Spectra with Respect to Homology (Topology, vol. 18, 1979, pp. 257-281). Zbl0417.55007MR80m:55006
  4. [G] D. GRAYSON, Localization for Flat Modules in Algebraic K-theory (J. Alg., vol. 61, 1979, pp. 463-496). Zbl0436.18010MR82c:14011
  5. [N] A. NEEMAN, K-Theory for Triangulated Categories II : Homologidal Functors, Preprint. 
  6. [R] D. C. RAVENEL, Localization with Respect to Certain Periodic Homology Theories (Amer. J. of Math., vol. 106, 1984, pp. 351-414). Zbl0586.55003MR85k:55009
  7. [TT] R. THOMASON and T. TROBAUGH, Higher Algebraic K-Theory of Schemes and of Derived Categories, in The Grothendieck Festschrift (a collection of papers to honor Grothendieck's 60'th birthday), Birkhäuser, vol. 3, 1990, pp. 347-435. Zbl0731.14001MR92f:19001
  8. [W1] F. WALDHAUSEN, Algebraic K-Theory of Spaces (Lect. Notes in Math., vol. 1126, 1985, pp. 318-419). Zbl0579.18006MR86m:18011
  9. [W2] F. WALDHAUSEN, Algebraic K-Theory of Spaces, Localization, and the Chromatic Filtration of Stable Homotopy, in Proceedings of Alg. Top. Conf. in Aarhus, 1982, SLN 1051, 1984, pp. 173-195. Zbl0562.55002MR86c:57016
  10. [Y] D. YAO, Higher Algebraic K-Theory of Admissible Abelian Categories and Localization Theorems, Preprint. Zbl0746.19006

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