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manuscripta mathematica

, Volume 110, Issue 3, pp 381–406 | Cite as

Triangulated functors, homological functors, tilts, and lifts

  • Peter Jørgensen

Abstract.

 Let T be a triangulated category and let X be an object of T. This paper studies the questions: Does there exist a triangulated functor G : D(ℤ)  T with G(ℤ)≌X? Does there exist a triangulated functor H : T  D(ℤ) with h0 ⊚ H ⋍ HomT (X, −)? To what extent are G and H unique?

One spin off is a proof that the homotopy category of spectra is not the stable category of any Frobenius category with set indexed coproducts.

Keywords

Homological Functor Homotopy Category Stable Category Frobenius Category Triangulate Functor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Peter Jørgensen
    • 1
  1. 1.Danish National Library of Science and Medicine, Nørre Allé 49, 2200 København N, Denmark. e-mail: pej@dnlb.dk, www.geocities.com/popjoergDK

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