(Infinity,2)-Categories and the Goodwillie Calculus I
By Jacob Lurie. 2009
118 citations recorded by the source corpus.
The bulk of this paper is devoted to the comparison of several models for the theory of (infinity,2)-categories: that is, higher categories in which all k-morphisms are invertible for k > 2 (the case of (infinity,n)-categories is also considered). Our ultimate goal is to lay the foundations for a study of Tom Goodwillie's calculus of functors. To this end, we have included some simple applications to the theory of first derivatives.
Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/e4903695ea74771aaf794fc0aa04c4d80f205e19
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Citations in the corpus
- Homotopy Theory of Higher Categories: THE MODEL STRUCTURE (2010, methodology): “As our procedure makes clear, and as came out in [117] and [171], this iteration can start with any model category such as K , allowing us to define Segal n-categories which in Lurie’s notation correspond to (∞, n)-categories i.e. ∞-categories where all morphisms are invertible starting from degree ”
- Lax monoidal adjunctions, two‐variable fibrations and the calculus of mates (2020, methodology): “1, one sees that the equivalence Funlax(B, Cat) ≃ Cocartlax(B) is given at the level of objects by the usual unstraightening from [21] (which in this special agrees with the locally cocartesian unstraightening from [22]).”