### Abstract

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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### Cite this

*Proceedings of the American Mathematical Society*,

*142*, 2243-2254. https://doi.org/10.1090/S0002-9939-2014-11946-0

**Configuration spaces and theta_n.** / Ayala, David; Hepworth, Richard.

Research output: Contribution to journal › Article

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

}

TY - JOUR

T1 - Configuration spaces and theta_n

AU - Ayala, David

AU - Hepworth, Richard

N1 - The work was supported by the Danish National Research Foundation (DNRF) through the Centre for Symmetry and Deformation. The first author was partially supported by ERC adv.grant No. 228082, and by the National Science Foundation under award No. 0902639

PY - 2014/7

Y1 - 2014/7

N2 - 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.

AB - 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.

U2 - 10.1090/S0002-9939-2014-11946-0

DO - 10.1090/S0002-9939-2014-11946-0

M3 - Article

VL - 142

SP - 2243

EP - 2254

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

ER -