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 selfcontained and uses only elementary techniques in combinatorics and homotopy theory.
Original language  English 

Pages (fromto)  22432254 
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 
Bibliographical note
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
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Richard Hepworth
Person: Academic