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Jun 21, 2022 at 16:46 comment added Tim Campion Oof... apparently there is an an nlab page answering most of these questions, citing Bunge and Funk... I should have researched more carefully before asking. I think all that remains is Question B -- and Question D, I suppose.
Jun 21, 2022 at 16:43 comment added Tim Campion @SimonHenry Yes, there's the description I allude to in the second paragraph. It's the full sub2category of $Cat$ on the objects of $\Delta_{aug}$. I don't remember the reference...
Jun 21, 2022 at 16:41 comment added Simon Henry Does $\Delta^l$ has an explicit description ? like the two cell being given by the order relation on maps in $\Delta$ ?
Jun 21, 2022 at 16:16 history edited Tim Campion CC BY-SA 4.0
added 128 characters in body
Jun 21, 2022 at 16:09 history asked Tim Campion CC BY-SA 4.0