Title | t-structures on stable (infinity,1)-categories |

Publication Type | Thesis |

Year of Publication | 2016 |

Authors | Loregian, F |

University | SISSA |

Keywords | category theory, higher category theory, factorization system, torsion theory, homological algebra, higher algebra |

Abstract | The present work re-enacts the classical theory of t-structures reducing the classical definition coming from Algebraic Geometry to a rather primitive categorical gadget: suitable reflective factorization systems (defined in the work of Rosický, Tholen, and Cassidy-Hébert-Kelly), which we call "normal torsion theories" following. A relation between these two objects has previously been noticed by other authors, on the level of the triangulated homotopy categories of stable (infinity,1)-categories. The main achievement of the present thesis is to observe and prove that this relation exists genuinely when the definition is lifted to the higher-dimensional world where the notion of triangulated category comes from. |

URL | http://urania.sissa.it/xmlui/handle/1963/35202 |

Custom 1 | 35477 |

Custom 2 | Mathematics |

Custom 4 | 1 |

Custom 5 | MAT/03 |

Custom 6 | Submitted by floregi@sissa.it (floregi@sissa.it) on 2016-06-10T18:05:18Z |