Corpus ID: 119146526

A user's guide to co/cartesian fibrations

@article{MazelGee2015AUG,
  title={A user's guide to co/cartesian fibrations},
  author={Aaron Mazel-Gee},
  journal={arXiv: Category Theory},
  year={2015}
}
  • Aaron Mazel-Gee
  • Published 2015
  • Mathematics
  • arXiv: Category Theory
  • 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. 

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    References

    Publications referenced by this paper.
    SHOWING 1-5 OF 5 REFERENCES
    Higher Topos Theory
    • 1,283
    • PDF
    Model categories and their localizations
    • 1,295
    • PDF
    All about the Grothendieck construction
    • 9
    • PDF