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.

arXiv comment41 pages

References in corpus (8)

• Higher Topos Theory
• Higher Segal spaces I
• On the algebraic K-theory of higher categories
• Algebraic versus topological triangulated categories
• On exact infinity-categories and the Theorem of the Heart
• Transport of structure in higher homological algebra
• Stable Infinity Categories
• $n$-exangulated categories

Cited by in corpus (9)

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