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Matteo Capucci (he/him) (Jul 02 2024 at 08:05):Is there an established name for a class of maps stable under pushouts, like 'display maps' is a name for a class of maps stable under pullback? Cofibrations is a little too heavy-handed. I'd go with codisplay if no one has a better suggestion.
Nathan Corbyn (Jul 02 2024 at 09:00):Codisplay map appears to be accepted terminology (it appears in @Jonas Frey’s upcoming paper on clan-algebraic duality—definition 2.4). I personally use the word a lot.