Gluing approximable triangulated categories
Webcategory can be thought of as a category where many objects are the limits of their Fourier expansions. And then come two types of theorems: (1) theorems providing examples, meaning showing that some category you might naturally want to look at is approximable, and (2) general structure theorems about approximable triangulated WebGLUING RESTRICTED NERVES OF ∞-CATEGORIES 3 We say that a subset E⊆ Ar(C) is admissible (Definition 3.18) if Econtains every identity morphism, E is stable under …
Gluing approximable triangulated categories
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Webby (reasonable) equivalence relations. In this handout we explain some general gluing procedures, and we give some examples. Since the Hausdorff property of a space is … WebJun 13, 2024 · Request PDF Gluing Approximable Triangulated Categories Given a bounded-above cochain complex of modules over a ring, it is standard to replace it by a …
WebApr 26, 2024 · Idea. Any (infinity,1)-category C C can be flattened, by ignoring higher morphisms, into a 1-category ho (C) ho(C) called its homotopy category.The notion of a triangulated structure is designed to capture the additional structure canonically existing on ho (C) ho(C) when C C has the property of being stable.This structure can be described … Webcategories by gluing t-structures via recollements. Our results on gluing partial silting sets are based on a technical criterion (theorem 6.3), which allows to glue partial silting sets T X and T Y in triangulated categories X and Y with respect to a recollement (Y≡D≡X). Conditions of theorem 6.3 are easier to check when T X and T
WebJun 14, 2024 · Given a bounded-above cochain complex of modules over a ring, it is standard to replace it by a projective resolution, and it is classical that doing so can be … http://math.stanford.edu/~conrad/diffgeomPage/handouts/gluing.pdf
WebJul 13, 2024 · The authors believe that the weight structure view on this matter can be useful since weight structures ‘‘glue’’ and ‘‘localize’’ well (one may say that ‘‘weight structures localize ... The writing of this note was motivated by the nice properties of approximable triangulated categories established in . So now we will say a ...
WebAug 26, 2024 · Approximable triangulated categories. This talk will introduce a new machine: approximable triangulated categories. The applications so far are: (1) Proofs … kinemirror beta downloadWebFeb 7, 2024 · We give an overview of existing enhancement techniques for derived and trianguated categories based on the notion of a stable model category, and show how it … kiné mothernWebA triangulated category is emph{approximable} if this modified procedure is possible. Not surprisingly this has proved a powerful tool. For example: the fact that the derived … kineo city and guildsWebJun 14, 2024 · A triangulated category is \emph{approximable} if this modified procedure is possible. Not surprisingly this has proved a powerful tool. For example: the fact that the … kine nguyen nice borriglioneWebA triangulated category is \emph{approximable} if this modified procedure is possible. Not surprisingly this has proved a powerful tool. For example: the fact that the derived … kinen\u0027s big and phat special plantsWebAmnon Neeman (ANU) Approximable Triangulated Categories April 28, 2024 18 / 72. Source of homological functors Let Tbe a triangulated category, and assume A 2Tis any object. Then the functors Hom(A; ) and Hom( ;A) are homological. Remark For the next two theorems we will suppose R is a noetherian ring, and X is kineococcus rhizosphaeraeWebGluing approximable triangulated categories with Amnon Neeman and Bregje Pauwels. Submitted, 18 pages. Transfer of A-infinty structures to projective resolutions Preprint, 20 … kineo court oakley ca