Geodesic
Locally well generated homotopy categories of complexes
Documenta mathematica, Tome 15 (2010), pp. 507-525
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We show that the homotopy category of complexes K(B) over any finitely accessible additive category B is locally well generated. That is, any localizing subcategory L in K(B) which is generated by a set is well generated in the sense of Neeman. We also show that K(B) itself being well generated is equivalent to B being pure semisimple, a concept which naturally generalizes right pure semisimplicity of a ring R for B=Mod-R.
DOI : 10.4171/dm/304
Classification : 16D90, 18E35, 18G35
Mots-clés : compactly and well generated triangulated categories, complexes, pure semisimplicity 
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     author = {Jan Stovicek},
     title = {Locally well generated homotopy categories of complexes},
     journal = {Documenta mathematica},
     pages = {507--525},
     year = {2010},
     volume = {15},
     doi = {10.4171/dm/304},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/304/}
}
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Jan Stovicek. Locally well generated homotopy categories of complexes. Documenta mathematica, Tome 15 (2010), pp. 507-525. doi: 10.4171/dm/304

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