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Aug 14, 2021 at 7:05 comment added Emily @AlexanderCampbell Ah, lovely! Thank you!
Aug 14, 2021 at 5:09 comment added Alexander Campbell Yes, all of these nerve functors preserve cartesian products. This is true already at the 1-categorical level. Whatever higher categorical formulations of this statement you might wish to make will follow from this basic 1-categorical fact.
Aug 14, 2021 at 1:52 history asked Emily CC BY-SA 4.0