External triangulation of the homotopy category of exact quasi-category

Abstract

Extriangulated categories axiomatize extension-closed subcategories of triangulated categories. We show that the homotopy category of an exact quasi-category can be equipped with a natural extriangulated structure.

41 pages

References in corpus (2)

• Higher Topos Theory
• Stable Infinity Categories

Cited by in corpus (7)

• Positive and negative extensions in extriangulated categories
• Silting reduction in extriangulated categories
• $n$-exact categories arising from $n$-exangulated categories
• Torsion pairs and recollements of extriangulated categories
• s-Recollements and its localization
• From right (n+2)-angulated categories to n-exangulated categories
• Balanced pairs and recollements in extriangulated categories with negative first extensions