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A note on the Penon definition of $n$-category

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 نشر من قبل Eugenia Cheng
 تاريخ النشر 2009
  مجال البحث
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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.



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