On the duality between trees and disks

David Oury

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


A combinatorial category Disk was introduced by André Joyal to play a role in his definition of weak ω-category. He defined the category Θ to be dual to Disks. In the ensuing literature, a more concrete description of Θ was provided. In this paper we provide another proof of the dual equivalence and introduce various categories equivalent to Disk or Θ, each providing a helpful viewpoint.
Original languageEnglish
Pages (from-to)418-450
Number of pages33
JournalTheory and Applications of Categories
Publication statusPublished - 2010
Externally publishedYes


  • Delta
  • Disk
  • Duality
  • Globular set
  • Omega-category
  • Theta-category
  • Tree


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