52 citations · 187 across the 31 of their papers we have counts for
37 papers
Metrics on triangulated categories and their enhancements
Alberto Canonaco, Amnon Neeman, Paolo Stellari
In this paper we investigate the uniqueness of enhancements of the natural subcategories of weakly approximable triangulated categories. The main idea is to enhance at the level of…
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…
Weakly approximable triangulated categories and enhancements: a survey
Alberto Canonaco, Amnon Neeman, Paolo Stellari
This paper surveys some recent results, concerning the intrinsicness of natural subcategories of weakly approximable triangulated categories. We also review the results about uniqu…
The passage among the subcategories of weakly approximable triangulated categories
Alberto Canonaco, Christian Haesemeyer, Amnon Neeman +1
In this article we prove that all the inclusions between the 'classical' and naturally defined full triangulated subcategories of a weakly approximable triangulated category are in…
Finite approximations as a tool for studying triangulated categories
Amnon Neeman
Small, finite entities are easier and simpler to manipulate than gigantic, infinite ones. Consequently huge chunks of mathematics are devoted to methods reducing the study of big,…