Configuration spaces of $\mathbb{R}^n$ and Joyal’s category $\mathbf{\Theta}_n$

Abstract: We examine configurations of finite subsets of Euclidean space within the homotopy-theoretic context of $\infty$-categories by way of stratified spaces. Through these higher categorical means, we identify the homotopy types of these configuration spaces in terms of the category $\mathbf{\Theta}_n$.

algebraic topologycategory theoryquantum algebra

Audience: learners

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