On Infinity Topoi
Category Theory
2007-05-23 v2 Algebraic Topology
Abstract
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.
Cite
@article{arxiv.math/0306109,
title = {On Infinity Topoi},
author = {Jacob Lurie},
journal= {arXiv preprint arXiv:math/0306109},
year = {2007}
}
Comments
60 pages