Corpus ID: 119648900

On Infinity Topoi

@article{Lurie2003OnIT,
  title={On Infinity Topoi},
  author={Jacob Lurie},
  journal={arXiv: Category Theory},
  year={2003}
}
  • Jacob Lurie
  • Published 2003
  • Mathematics
  • arXiv: Category Theory
  • In this paper we investigate an infinitely categorical analogue of the theory of Grothendieck topoi. In particular, we define infinity topoi and prove an analogue of Giraud's theorem, expressing the equivalence of ``intrinsic'' and ``extrinsic'' definitions. We also discuss the relationship between the theory of infinity topoi and classical topics in homotopy theory and dimension theory. 

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 12 REFERENCES
    Tame Topology and O-minimal Structures
    495
    Hypercovers and simplicial presheaves
    187
    Resolutions of unbounded complexes
    476
    Two-dimensional sheaf theory
    29
    Segal topoi and stacks over Segal categories
    40
    On non-strict notions of $n$-category and $n$-groupoid via multisimplicial sets
    10
    Coherence of tricategories
    360
    Cohomologie non abélienne
    651