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Description
  • We show that Quillen''s small object argument works for exact categories under very mild conditions. This has immediate applications to cotorsion pairs and their relation to the existence of certain triangulated adjoint functors and model structures. In particular, the interplay of different exact structures on the category of complexes of quasi-coherent sheaves leads to a streamlined and generalized version of recent results obtained by Estrada, Gillespie, Guil Asensio, Hovey, Jorgensen, Neeman, Murfet, Prest, Trlifaj and possibly others.
  • We show that Quillen''s small object argument works for exact categories under very mild conditions. This has immediate applications to cotorsion pairs and their relation to the existence of certain triangulated adjoint functors and model structures. In particular, the interplay of different exact structures on the category of complexes of quasi-coherent sheaves leads to a streamlined and generalized version of recent results obtained by Estrada, Gillespie, Guil Asensio, Hovey, Jorgensen, Neeman, Murfet, Prest, Trlifaj and possibly others. (en)
Title
  • On exact categories and applications to triangulated adjoints and model structures
  • On exact categories and applications to triangulated adjoints and model structures (en)
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  • On exact categories and applications to triangulated adjoints and model structures
  • On exact categories and applications to triangulated adjoints and model structures (en)
skos:notation
  • RIV/00216208:11320/11:10104875!RIV12-GA0-11320___
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  • P(GPP201/10/P084), Z(MSM0021620839)
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  • 2
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  • RIV/00216208:11320/11:10104875
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  • Model categories; Triangulated adjoint functors; Approximations; Cotorsion pairs; Exact categories (en)
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  • US - Spojené státy americké
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  • [2BD395FE84F1]
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  • Advances in Mathematics
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  • 228
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  • Saorín, Manuel
  • Šťovíček, Jan
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  • 000293667800008
http://linked.open...n/vavai/riv/zamer
issn
  • 0001-8708
number of pages
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  • 10.1016/j.aim.2011.05.025
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  • 11320
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