3 papers
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…
math.CT2023
Colimits of categories, zig-zags and necklaces
Redi Haderi
Given a diagram of small categories , we provide a combinatorial description of its colimit in terms of the indexing category and the categories…