Triangulated factorization systems and \(t\)-structures (Q2295385)

In this article, the authors introduce two concepts: triangulated factorization systems and normal triangulated torsion theories. The latter is an important subclass of the former. They show that the normal triangulated torsion theories are in bijection with \(t\)-structures on triangulated category. This result can be regarded as the triangulated analog of the theorem that says that \(t\)-structures are normal torsion theories in the setting of stable \((\infty, 1)\)-categories. Finally, the authors also apply the main result to stable homotopy theory.