15 июл. 2016 г. · A triangulated category T is called compactly generated if there is a set S of objects of T which consists of compact objects and satisfies Hom( ...

6 февр. 2021 г. · Why are compactly generated ∞-categories closed under limits in Cat∞? · It may be worth reflecting on the analogous theorem in 1-categories ( ...

16 апр. 2019 г. · Any compactly generated presentable stable ∞-category C is known to be dualizable (with respect to Lurie's tensor product), so there is a ...

3 февр. 2021 г. · Let T be a compactly generated triangulated category and let T' be a localizing subcategory. Is it automatic that T' is comapctly generated by T ...

24 нояб. 2020 г. · We say that A is compact (or sometimes small) if whenever we have a morphism u:A⟶⨁i∈IAi from A into a nonempty coproduct, there is a nonempty ...

22 февр. 2012 г. · Compactly generated ones are the biggest class of triangulated categories where the Brown representability theorem holds and can be checked ...

11 нояб. 2009 г. · Then the category K(ProjR), the homotopy category of complexes of projective R-modules is not compactly generated.

19 мая 2019 г. · More generally, let K be a compactly generated stable model category with a set C of compact objects and a set G of compact generators. What are ...

5 сент. 2013 г. · (1) Dqc(X) is compactly generated by a single object for every quasi-compact algebraic stack with quasi-finite and separated diagonal (e.g., X ...

8 июл. 2019 г. · Let X be a quasi-compact, quasi-separated scheme. When is the ∞-category D≥0(X) of connective sheaves of complexes compactly generated?