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math.CT2024

An -monoidal Grothendieck construction

Redi Haderi, Walker H. Stern

Given an operad , we define a notion of weak -monoids -- which we term -pseudomonoids -- in a 2-category. In the special case with the 2-cate…

math.CT2024

The operadic theory of convexity

Redi Haderi, Cihan Okay, Walker H. Stern

In this article, we characterize convexity in terms of algebras over a PROP, and establish a tensor-product-like symmetric monoidal structure on the category of convex sets. Using…