تقرير
Kleisli categories, T-categories and internal categories
| العنوان: | Kleisli categories, T-categories and internal categories |
|---|---|
| المؤلفون: | Bourn, Dominique |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Category Theory, 8C20, 18D40, 18M60, 18M65, 18N50 |
| الوصف: | We investigate the properties of the Kleisli category KlT of a monad (T,{\lambda},{\mu}) on a category E and in particular the existence of (some kind of) pullbacks. This culminates when the monad is cartesian. In this case, we show that any T-category in E in the sense of A. Burroni coincides with a special kind of internal category in KlT . So, it is the case in particular for T -operads and T -multicategories. More unexpectedly, this, in turn, sheds new lights on internal categories and n-categories. Comment: 46 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2401.11781 |
| رقم الأكسشن: | edsarx.2401.11781 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |