Kerodon

$\Newextarrow{\xRightarrow}{5,5}{0x21D2}$ $\newcommand\empty{}$
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$

Comments on Variant 11.5.0.11

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Comment #2120 by on

I'm confused about the necessity of this variant. In Remark 4.6.4.9 (01KN) it's proposed that we have an identificaiton of infty-categories between maps out of the blunt join and maps into the oriented fiber product. Hence we would have an identification of Kan complexes, and connected components therein. (This is unlike the usual join, where we only have such an identification at the level of sets of maps.) So it seems that the blunt variant of Lemma 4.6.4.21 (01KV) is superfluous, according to Remark 4.6.4.9. Apologies if I am mistaken here.

Comment #2122 by Kerodon on

Yes, I think you are right. Thanks; that's simpler.

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