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Feb 20, 2017 at 21:04 comment added fosco Ah, the nLab page solved the terminology issue that you raised (or that I misinterpreted until today). The lax co/limit of $f : X \to Y$, seen as a diagram $\Delta[1] \to\cal A$, is the comma of $f$ and the identity (which is the way I interpreted your answer at first sight). So, thanks again!
Feb 20, 2017 at 11:53 comment added Mike Shulman No, the lax limit of a cospan is different from the comma object; it involves two nonidentity 2-cells, whereas the comma object involves only one.
Feb 20, 2017 at 11:05 comment added fosco I agreed the first time I read this, but then I thought: isn't the comma object the lax limit of a cospan?
Feb 20, 2017 at 10:47 vote accept fosco
Feb 20, 2017 at 8:43 history answered Mike Shulman CC BY-SA 3.0