Higher-categorical combinatorics of configuration spaces of Euclidean space

2019/10/26 by Anna Cepek, Cepek, Anna
Decision Sciences · Mathematics · #18B30 #55P60 #55R80 #57N80 #Advanced Topology and Set Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Fuzzy and Soft Set Theory #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1910.11980

openalex publication_date 2019/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We examine configurations of finite subsets of manifolds within the homotopy-theoretic context of ∞-categories by way of stratified spaces. Through these higher categorical means, we identify the homotopy types of such configuration spaces in the case of n-dimensional Euclidean space in terms of the category \mathbfΘ_n.

Related

• Configurations spaces and Theta_n
• The configuration category of a covering space
• Higher categories
• Homotopy theory of higher categories
• Combinatorial models for stratified homotopy theory