English

A user's guide to co/cartesian fibrations

Category Theory 2015-10-09 v1 Algebraic Topology

Abstract

We formulate a model-independent theory of co/cartesian morphisms and co/cartesian fibrations: that is, one which resides entirely *within the \infty-category of \infty-categories*. We prove this is suitably compatible with the corresponding quasicategorical (and in particular, model-dependent) notions studied by Joyal and Lurie.

Keywords

Cite

@article{arxiv.1510.02402,
  title  = {A user's guide to co/cartesian fibrations},
  author = {Aaron Mazel-Gee},
  journal= {arXiv preprint arXiv:1510.02402},
  year   = {2015}
}
R2 v1 2026-06-22T11:15:55.719Z