Kerodon

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

Comments on Proposition 1.2.4.2

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Comment #73 by Carles Sáez on

Some typos: "every map can be extended to an -simplex ."

should be "...can be extended to an -simplex ".

Same issue in the case.

I think in case , according to the definitions the horn should be empty and not . However, then the condition for reads "there is a 0-simplex in ", and I'm not sure if this is wanted (shouldn't we allow the empty groupoid?).

Comment #76 by Kerodon on

Yep, thanks! Definitely there should be no non-vacuous filling condition in the case n=0.

There are also:

  • 11 comment(s) on Chapter 1: The Language of $\infty $-Categories
  • 1 comment(s) on Subsection 1.2.4: The Nerve of a Groupoid

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