A finite-limit-preserving functor with an admissible lifting property yields a Quillen equivalence presenting the universal model category of the target.
Calculus of Fractions for Quasicategories
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We describe a generalization of Gabriel and Zisman's Calculus of Fractions to quasicategories, showing that the two essentially coincide for the nerve of a category. We then prove that the marked Ex-functor can be used to compute the localization of a marked quasicategory satisfying our condition and that the appropriate (co)completeness properties of the quasicategory carry over to its localization.
fields
math.CT 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Homotopical presentation of categories
A finite-limit-preserving functor with an admissible lifting property yields a Quillen equivalence presenting the universal model category of the target.