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math.CT2025
Simplicial effects and weakly associative partial groups
Cihan Okay, Victor Castillo, Walker H. Stern
In this paper, we introduce a new category of simplicial effects that extends the categories of effect algebras and their multi-object counterpart, effect algebroids. Our approach…
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…