A note on the Penon definition of $n$-category
| Autor: | Cheng, Eugenia, Makkai, Michael |
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| Rok vydání: | 2009 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We show that doubly degenerate Penon tricategories give symmetric rather than braided monoidal categories. We prove that Penon tricategories cannot give all tricategories, but we show that a slightly modified version of the definition rectifies the situation. We give the modified definition, using non-reflexive rather than reflexive globular sets, and show that the problem with doubly degenerate tricategories does not arise. Comment: 14 pages, to appear in Cahiers de Topologie et Geometrie Differentielle Categoriques |
| Databáze: | arXiv |
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