Higher-categorical combinatorics of configuration spaces of Euclidean space

Anna Cepek

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arXiv · 1910.11980

Higher-categorical combinatorics of configuration spaces of Euclidean space

Anna Cepek

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Abstract

We examine configurations of finite subsets of manifolds within the homotopy-theoretic context of $\infty$-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 $\mathbf{\Theta}_n$.

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Anna Cepek. 2019-10-26. Higher-categorical combinatorics of configuration spaces of Euclidean space. https://arxiv.org/abs/1910.11980

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