''Higher Topos Theory''

Higher Topos Theory is a mathematical book by American mathematician Jacob Lurie. The main subject of the book is an ∞-topos. But it also develops the theory of ∞-category as a particular kind of a simplicial set. All together the book provides a categorical foundation for derived algebraic geometry.

The book is available at http://arxiv.org/abs/math/0608040.


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