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math.AT2024
Simplicial lists in operad theory I
Redi Haderi, Özgün Ünlü
We define a category whose objects are sets and morphisms are mappings which assign to an element in the domain an ordered sequence (list) of elements in the codoma…
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…