nLab
pretriangulated A-∞-category

Contents

Context

Homological algebra

homological algebra

(also nonabelian homological algebra)

Introduction

Context

Basic definitions

Stable homotopy theory notions

Constructions

Lemmas

diagram chasing

Homology theories

Theorems

Higher category theory

higher category theory

Basic concepts

Basic theorems

Applications

Models

Morphisms

Functors

Universal constructions

Extra properties and structure

1-categorical presentations

Contents

Idea

Just as pretriangulated dg-categories are a model for stable linear (∞,1)-categories in the setting of dg-categories, pretriangulated A A_\infty-categories are designed to be a model for stable linear (∞,1)-categories in the setting of A A_\infty-categories.

References

  • Yuri Bespalov, Volodymyr Lyubashenko, Oleksandr Manzyuk, Pretriangulated A A_\infty-categories, Proceedings of the Institute of Mathematics of NAS of Ukraine, vol. 76, Institute of Mathematics of NAS of Ukraine, Kyiv, 2008, 599 p., pdf.

Last revised on January 31, 2019 at 04:09:50. See the history of this page for a list of all contributions to it.