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math.CT2026
On the Centre of Strong Graded Monads
Flavien Breuvart, Quan Long, Vladimir Zamdzhiev
We introduce the notion of 'centre' for pomonoid-graded strong monads which generalizes some previous work that describes the centre of (not graded) strong monads. We show that, wh…
math.CT2021
Reflection on the enrichment of double categories
Flavien Breuvart
Enrichment and internal categories are two different way to generalize the notion of category. As such, enriching double categories (which are categories internal to Cat) is not a…