From the 1 of 8 linked papers with an AI index.
8 papers
Metrics on triangulated categories and their enhancements
Alberto Canonaco, Amnon Neeman, Paolo Stellari
The paper investigates the uniqueness of ∞‑categorical enhancements for natural subcategories of weakly approximable triangulated categories using a theory of excellent metrics, an…
Strong uniqueness of enhancements for the dual numbers: a case study
Alberto Canonaco, Amnon Neeman, Paolo Stellari
We prove that the bounded and bounded below derived categories of (all) modules over the dual numbers have strongly unique (dg) enhancements. To this end we relate those categories…
Excellent metrics on triangulated categories, and the involutivity of the map taking to
Amnon Neeman
In the article arXiv:1806.06471 we defined good metrics on triangulated categories, and then studied the construction, that began with a triangulated category togethe…
The categories and determine each other
Amnon Neeman
Given an essentially small triangulated category it is possible to give a metric on it, to complete it with respect to the metric, and to look at the subcategory of objects in the…
The category as functors on
Amnon Neeman
We revisit an old assertion due to Rouquier, characterizing the perfect complexes as bounded homological functors on the bounded complexes of coherent sheaves. The new results vast…
Triangulated categories with a single compact generator and two Brown representability theorems
Amnon Neeman
We develop the general formalism of approximable triangulated categories, and prove two representability theorems.