### 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.

Original language | English |
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Pages (from-to) | 2243-2254 |

Number of pages | 12 |

Journal | Proceedings of the American Mathematical Society |

Volume | 142 |

Early online date | 11 Apr 2014 |

DOIs | |

Publication status | Published - Jul 2014 |

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## Profiles

### Richard Hepworth

- School of Natural & Computing Sciences, Mathematical Science - Senior Lecturer
- Mathematical Sciences (Research Theme)

Person: Academic

## Cite this

Ayala, D., & Hepworth, R. (2014). Configuration spaces and theta_n.

*Proceedings of the American Mathematical Society*,*142*, 2243-2254. https://doi.org/10.1090/S0002-9939-2014-11946-0