Triangulated functors,homological functors,tilts, and lifts |
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Authors: | Peter Jørgensen |
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Institution: | 1.Danish National Library of Science and Medicine, N?rre Allé 49, 2200 K?benhavn N, Denmark. e-mail: pej@dnlb.dk, www.geocities.com/popjoerg,DK |
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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.
Received: 8 March 2002 / Revised version: 18 October 2002 Published online: 14 February 2003
Mathematics Subject Classification (2000): 18E30, 55U35 |
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