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math.CT2026
Six functor formalisms via internal higher algebra
Shachar Carmeli, Guy Kapon, Noam Nissan
We extend a six-functor formalism to a lax symmetric monoidal functor of -categories $\mathbf{Span}^2(C,E)^P_I\to\mathbf{Cat}…
math.CT2018★ 4 cited
-categories and relative 2-operads
Nathaniel Bottman, Shachar Carmeli
We define the notion of a 2-operad relative to an operad, and prove that the 2-associahedra form a 2-operad relative to the associahedra. Using this structure, we define the notion…