Triangulated categories with a single compact generator and two Brown representability theorems
Amnon Neeman
TL;DR
This paper develops a formal framework for approximable triangulated categories and proves two theorems related to their Brown representability, advancing the theoretical understanding of these mathematical structures.
Contribution
It introduces the formalism of approximable triangulated categories and establishes two new Brown representability theorems.
Findings
Development of the formalism of approximable triangulated categories
Proof of two new Brown representability theorems
Enhanced understanding of the structure of triangulated categories
Abstract
We develop the general formalism of approximable triangulated categories, and prove two representability theorems.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra