Configuration spaces and theta_n

David Ayala, Richard Hepworth

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)
10 Downloads (Pure)


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 languageEnglish
Pages (from-to)2243-2254
Number of pages12
JournalProceedings of the American Mathematical Society
Early online date11 Apr 2014
Publication statusPublished - Jul 2014


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