Algebra seminar - May 30, 1pm, lecture room M5 PDF Print

We will continue on Thursday, May 30, in M5 at 1pm by the talk

M. Lieberman

Cofibrant generation and stable independence

We discuss recent joint work with Rosicky and Vasey concerning connections between stable independence notions and cofibrant generation of weak factorization systems in locally finitely presentable categories. In particular, we show that for a sufficiently nice class of morphisms M in an lfp category K, M is cofibrantly generated just in case the wide subcategory of K with morphisms precisely those in M has a stable independence relation. This result, and its consequences, cover a wide variety of examples and, in particular, provide an ideal context in which to analyze the stability of Ext-orthogonality classes of models of the sort considered in Baldwin/Eklof/Trlifaj.

Last Updated on Thursday, 23 May 2019 07:34