Higher topos theory

By: Jacob LurieMaterial type: TextTextPublication details: Princeton Princeton University Press 2009Description: 925 pISBN: 9780691140490LOC classification: QA169
Contents:
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
Summary: 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.
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 4 QA169 (Browse shelf (Opens below)) Available Billno: 42677 ; Billdate: 25.02.2019 01789
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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.

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