Derived Algebraic Geometry II: Noncommutative Algebra

By Jacob Lurie. 2007

58 citations recorded by the source corpus.

1 Monoidal ∞-Categories 4 1.1 Monoidal Structures and Algebra Objects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.2 Cartesian Monoidal Structures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.3 Subcategories of Monoidal ∞-Categories . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 1.4 Free Algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 1.5 Limits and Colimits of Algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 1.6 Monoidal Model Categories . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 1.7 Digression: Segal Monoidal ∞-Categories . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

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