On exact categories and applications to triangulated adjoints and model structures |
| |
Authors: | Manuel Saorín Jan Š?oví?ek |
| |
Institution: | aDepartamento de Matemáticas, Universidad de Murcia, Aptdo. 4021, 30100 Espinardo, Murcia, Spain;bCharles University in Prague, Faculty of Mathematics and Physics, Department of Algebra, Sokolovska 83, 186 75 Praha 8, Czech Republic |
| |
Abstract: | 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, Jørgensen, Neeman, Murfet, Prest, Trlifaj and possibly others. |
| |
Keywords: | MSC: primary 18E10 18G10 secondary 18E30 55U35 |
本文献已被 ScienceDirect 等数据库收录! |
|