3 papers
math.AT2026
The product rule in Goodwillie calculus
Max Blans, Thomas Blom
In this paper, we prove a product rule for Goodwillie derivatives: given a differentiable -category whose stabilization is equivalent to the -category…
math.CT2026
Day convolution for algebraic patterns
Thomas Blom, Félix Loubaton, Jaco Ruit
We characterize the exponentiable objects for a wide range of structures prevalent in -categorical algebra, extending the construction of Day convolution to more general st…
math.AT2024
On the chain rule in Goodwillie calculus
Max Blans, Thomas Blom
We prove a generalization of the Arone-Ching chain rule for Goodwillie derivatives by showing that for any pair of reduced finitary functors …