18 мар. 2024 г. · Definition. For κ a regular cardinal, an (∞,1)-category is called κ -compactly generated if it is κ -accessible and locally presentable.

10 февр. 2014 г. · More generally, if R R is a ring spectrum, then the homotopy category of module spectra over R R is compactly generated by R R .

Categories which are compactly generated and also admit all colimits are called accessible categories. Definition · Compactness in triangulated... · Examples

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( ... Compact object and compact generator in a category Why are compactly generated ∞-categories closed under limits ... Which set of compact objects generates the subcategory of a ... Counit map for compactly generated categories - MathOverflow Другие результаты с сайта mathoverflow.net

In this section we prove that various derived categories associated to our pro-étale sites are compactly generated as defined in Derived Categories, Definition ...

In mathematics, the category of compactly generated weak Hausdorff spaces, CGWH, is a category used in algebraic topology as an alternative to the category ...

In this section we give conditions on the module category X (Definition 2.1) which ensure that the associated homotopy category K(X) is compactly generated ( ...

compactly generated triangulated category, and X ∈ Mod-R is compact if and only if X ∼= Y in Mod-R for some nitely generated R-module. Y . This particular ...

14 апр. 2021 г. · A standard theorem is that if C=Ind(C0) comes from Ind-completion, then C is dualizable and its dual is given by C∨=Ind(Cop0).

Over an associative ring we consider a class X X of left modules which is closed under set-indexed coproducts and direct summands.