Thomason-type model structure

Thomason-type model categories provide simple 1-categorical models for (∞,1)-categorical objects.

The provide a particularly convenient setting for results like Quillen’s Theorem A? and Theorem B?.

(∞,1)-categorical structure | 1-categorical structure | model structure |
---|---|---|

∞-groupoid | category | Thomason model structure |

∞-groupoid | poset | model structure on posets? |

∞-groupoid | 2-category | Thomason model structure on 2-categories? |

(∞,1)-category | relative category | Barwick–Kan model structure? |

connective spectra | symmetric multicategory | Fuentes-Keuthan model structure? |

connective spectra | symmetric monoidal groupoid? | (only a relative category) |

connective spectra | symmetric monoidal category | (only a relative category) |

[…]

Created on September 18, 2021 at 18:18:59. See the history of this page for a list of all contributions to it.