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Nov 10, 2019 at 19:27 comment added Charles Rezk The characterization I gave is basically obvious if you take complete Segal spaces as your model for $Cat_\infty$, btw.
Nov 10, 2019 at 19:14 comment added Tim Campion Monomorphisms in $Cat_\infty$ are characterized this way in Secion 5.1 of Ayala-Francis-Rozenblyum. I'm not sure if that's the earliest reference.
Nov 10, 2019 at 19:02 history edited Questioner CC BY-SA 4.0
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Nov 10, 2019 at 18:14 comment added Questioner Somewhere along the way, I accidentally replaced (-1)-truncated map of hom-spaces with a bastardization of the characterization of (-1)-truncated spaces. I've corrected my post to undo that error.
Nov 10, 2019 at 17:53 vote accept Questioner
Nov 10, 2019 at 17:52 history edited Questioner CC BY-SA 4.0
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Nov 10, 2019 at 17:37 comment added Charles Rezk $F$ is $(-1)$-truncated iff (i) each $C(X,Y)\to D(FX,FY)$ is a $(-1)$-truncated map of spaces which (ii) has all isos $FX\xrightarrow{\sim} FY$ in its effective image.
Nov 10, 2019 at 16:47 answer added Valery Isaev timeline score: 4
Nov 10, 2019 at 11:25 review First posts
Nov 10, 2019 at 13:17
Nov 10, 2019 at 11:23 history asked Questioner CC BY-SA 4.0