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math.CT2021
Dual tangent structures for infinity-toposes
Michael Ching
We describe dual notions of tangent bundle for an infinity-topos, each underlying a tangent infinity-category in the sense of Bauer, Burke and the author. One of those notions is L…
math.CT2021★ 1 cited
Tangent -categories and Goodwillie calculus
Kristine Bauer, Matthew Burke, Michael Ching
We make precise the analogy between Goodwillie's calculus of functors in homotopy theory and the differential calculus of smooth manifolds by introducing a higher-categorical frame…
math.CT2005
A note on the composition product of symmetric sequences
Michael Ching
We consider the composition product of symmetric sequences in the case where the underlying symmetric monoidal structure does not commute with coproducts. Even though this composit…