Virtual triangles

K-Theory

Volumn 22, Issue 1-2, 2001, Pages 161-198

  Vaknin, Avishay ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

Algebraic K theory; Triangulated categories; Virtual triangles

Indexed keywords

EID: 0013172971     PISSN: 09203036     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011109407704     Document Type: Article

References (18)

1. Beǐlinson, A. A., Bernstein, J. and Deligne, P.: Faisceaux pervers, Analysis and Topology on Singular Spaces, I (Luminy, 1981), Astérisque 100, Soc. Math. France, 1982, 5-171.
2. Gelfand, S. I. and Manin, Yu. I.: Homological Algebra, Springer-Verlag, Berlin, 1999, translated from the 1989 Russian original by the authors, reprint of the original English edition from the series Encyclopaedia of Mathematical Sciences [Algebra, V, Encyclopaedia Math. Sci., 38, Springer, Berlin, 1994; MR 95g:18007].
3. Jardine, J. F.: The multiple Q-construction, Canad. J. Math. (1987), 1174-1209.
4. Margolis, H. R.: Spectra and the Steenrod Algebra, North-Holland, Amsterdam, 1983, Modules over the Steenrod algebra and the stable homotopy category.
5. Neeman, A.: Triangulated categories, Preprint. URL: http://hopf.math.purdue.edu/pub/Neeman/.
6. Neeman, A.: Some new axioms for triangulated categories, J. Algebra (1991), 221-255.
7. Neeman, A.: K-theory for triangulated categories I(A), Asian J. Math. (1997), 330-417.
8. Neeman, A.: K-theory for triangulated categories I(B), Asian J. Math. (1997), 435-529.
9. Neeman, A.: K-theory for triangulated categories II, Asian J. Math. (1998), 1-125.
10. Neeman, A.: K-theory for triangulated categories III(A): The theorem of the heart, Asian J. Math. 2(3) (1998), 495-589.
11. Neeman, A.: K-theory for triangulated categories III(B): The theorem of the heart, Asian J. Math. 3(3) (1998), 557-608.
12. Neeman, A.: K-theory for triangulated categories 3 1/2(A): a detailed proof of the theorem of homological functors, K-Theory 20(2) (2000), 97-174.
13. Neeman, A.: K-theory for triangulated categories 3 1/2(B): a detailed proof of the theorem of homological functors. K-Theory 20(3) (2000), 243-298.
14. Neeman, A.: K-theory for triangulated categories 3 3/4: a direct proof of the theorem of the heart, K-Theory 22 (2001), 1-144 (this issue).
15. Quillen, D.: Higher algebraic K-theory I, In: Lecture Notes in Math. 341, Springer, New York, 1973, pp. 85-147.
16. 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), Birkhäuser, 1990, pp. 247-435
17. Waldhausen, F.: Algebraic K-theory of spaces, In: Algebraic and Geometric Topology (New Brunswick, N.J., 1983), Springer, Berlin, 1985, pp. 318-419.
18. Weibel, C. A.: An Introduction to Homological Algebra, Cambridge Univ. Press, Cambridge, 1994.