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The dual of Brown representability for some derived categories

George Ciprian Modoi Faculty of Mathematics and Computer Science, Babeş-Bolyai University

Category Theory mathscidoc:1701.04002

Arkiv for Matematik, 1-14, 2016.2
Consider a complete abelian category which has an injective cogenerator. If its derived category is left-complete we show that the dual of this derived category satisfies Brown representability. In particular, this is true for the derived category of an abelian AB $4^{*}$ - $n$ category and for the derived category of quasi-coherent sheaves over a nice enough scheme, including the projective finitely dimensional space.
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@inproceedings{george2016the,
  title={The dual of Brown representability for some derived categories},
  author={George Ciprian Modoi},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203408383269828},
  booktitle={Arkiv for Matematik},
  pages={1-14},
  year={2016},
}
George Ciprian Modoi. The dual of Brown representability for some derived categories. 2016. In Arkiv for Matematik. pp.1-14. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203408383269828.
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