Jacob Lurie
Higher topos theory - Princeton Princeton University Press 2009 - 925 p
1. One an overview of higher category theory
2. Two Fibrations of Simplicial Sets
3. The ∞-categories of ∞-categories
4. Limits and Colimits
5. Five Presentable and Accessible ∞-Categories
6. ∞-Topoi
7. Higher Topos Theory in Topology
In Higher Topos Theory, Jacob Lurie presents the foundations of this theory, using the language of weak Kan complexes introduced by Boardman and Vogt, and shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language. The result is a powerful theory with applications in many areas of mathematics.
9780691140490
QA169
Higher topos theory - Princeton Princeton University Press 2009 - 925 p
1. One an overview of higher category theory
2. Two Fibrations of Simplicial Sets
3. The ∞-categories of ∞-categories
4. Limits and Colimits
5. Five Presentable and Accessible ∞-Categories
6. ∞-Topoi
7. Higher Topos Theory in Topology
In Higher Topos Theory, Jacob Lurie presents the foundations of this theory, using the language of weak Kan complexes introduced by Boardman and Vogt, and shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language. The result is a powerful theory with applications in many areas of mathematics.
9780691140490
QA169