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math.CT2026
Symmetric 2-rigs: coexponentiability and cartesian closure
Mathieu Anel, Marcelo Fiore, Nicola Gambino
We study coexponentiability in the context of the cocartesian 2-category RIG of symmetric 2-rigs, symmetric strong monoidal cocontinuous functors, and symmetric monoidal natural tr…
math.AT2026
Left exact monoidal localizations from tidy maps
Mathieu Anel, Georg Biedermann, Eric Finster +1
We put Goodwillie's calculus of functors and Weiss' orthogonal calculus in a unified framework. We do so in two ways. On the one hand, the relevant categories are all symmetric mon…