Extension categories and their homotopy

Amnon Neeman; Vladimir Retakh

Compositio Mathematica (1996)

  • Volume: 102, Issue: 2, page 203-242
  • ISSN: 0010-437X

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Neeman, Amnon, and Retakh, Vladimir. "Extension categories and their homotopy." Compositio Mathematica 102.2 (1996): 203-242. <http://eudml.org/doc/90453>.

@article{Neeman1996,
author = {Neeman, Amnon, Retakh, Vladimir},
journal = {Compositio Mathematica},
keywords = {Waldhausen category; suspension functor; category of chain complexes; abelian category; loop space; triangulated category; Eilenberg-MacLane spectra},
language = {eng},
number = {2},
pages = {203-242},
publisher = {Kluwer Academic Publishers},
title = {Extension categories and their homotopy},
url = {http://eudml.org/doc/90453},
volume = {102},
year = {1996},
}

TY - JOUR
AU - Neeman, Amnon
AU - Retakh, Vladimir
TI - Extension categories and their homotopy
JO - Compositio Mathematica
PY - 1996
PB - Kluwer Academic Publishers
VL - 102
IS - 2
SP - 203
EP - 242
LA - eng
KW - Waldhausen category; suspension functor; category of chain complexes; abelian category; loop space; triangulated category; Eilenberg-MacLane spectra
UR - http://eudml.org/doc/90453
ER -

References

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  1. 1 Adams, J.F.: Stable Homotopy and Generalised Homology. Chicago Lectures in Math, U. of Chicago Press1974. Zbl0309.55016MR402720
  2. 2 Beilinson, A.A., Bernstein, J. and Deligne, P.: Analyse et topologie sur les éspaces singuliers. Astérisque 100, Soc. Math. France (1982). 
  3. 3 Bondal, A.I. and Kapranov, M.M.: Enhanced triangulated categories. Math of USSR-Sbornik70(1991)93-107. Zbl0729.18008MR1055981
  4. 4 Dwyer, W.G. and Kan, D.M.: Function complexes in homotopical algebra. Topology19 (1980) 427-440. Zbl0438.55011MR584566
  5. 5 Franke, J.: Uniqueness theorems for certain triangulated categories possessing an Adams spectral sequence. Preprint, 1993. 
  6. 6 Neeman, A.: Stable homotopy as a triangulated functor. Inv. Math.109 (1992) 17-40. Zbl0793.55007MR1168363
  7. 7 Porter, G.J.: Higher products. Trans. AMS148 (1970) 315-345. Zbl0194.55201MR256397
  8. 8 Quillen, D.: Higher algebraic K-theory I. Lecture Notes in Math.341 (1973) 85-147. Zbl0292.18004MR338129
  9. 9 Retakh, V.S.: Homotopic properties of categories of extensions. Russian Math. Surveys V. 41 N. 6 (1986) 217-218. Zbl0624.18005MR890505
  10. 10 Retakh, V.S.: Opérations de Massey, la construction S et extensions de Yoneda. C.R. Acad. Sci. Paris299 (1984) 475-478. Zbl0569.55012MR767174
  11. 11 Robinson, A.: Torsion products as homotopy groups. J. Pure Appl. Algebra21 (1981) 167-182. Zbl0467.18005MR614380
  12. 12 Thomason, R. and Trobaugh, T.: 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) Volume 3 pp. 247-435, Birkhäuser1990. Zbl0731.14001MR1106918
  13. 13 Waldhausen, F.: Algebraic K-theory of spaces. Lecture Notes in Math.1126 (1985) 318-419. Zbl0579.18006MR802796

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