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arXiv · 1202.2806

Configurations spaces and Theta_n

David Ayala·Richard Hepworth
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Abstract

We demonstrate that Joyal's category Theta_n, which is central to numerous definitions of (infinity,n)-categories, naturally encodes the homotopy type of configuration spaces of marked points in R^n. This article is largely self-contained and uses only elementary techniques in combinatorics and homotopy theory.

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David Ayala, Richard Hepworth. 2012-02-13. Configurations spaces and Theta_n. https://arxiv.org/abs/1202.2806

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