The Duskin nerve of 2-categories in Joyal's cell category Θ2

The Duskin nerve of 2-categories in Joyal's cell category Θ2

We give an explicit and purely combinatorial description of the Duskin nerve of any (r+1)-point suspension 2-category, and in particular of any 2-category belonging to Joyal's cell category Θ2.

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Veröffentlicht in:Journal of pure and applied algebra 2021-01, Vol.225 (1), p.106462, Article 106462
Hauptverfasser: Ozornova, Viktoriya, Rovelli, Martina
Format: Artikel
Sprache:eng
Schlagworte:
2-category
Duskin nerve
Joyal's cell category
Suspension 2-category
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Beschreibung
Zusammenfassung:We give an explicit and purely combinatorial description of the Duskin nerve of any (r+1)-point suspension 2-category, and in particular of any 2-category belonging to Joyal's cell category Θ2.
ISSN:0022-4049
1873-1376
DOI:10.1016/j.jpaa.2020.106462