Kerodon

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$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$

Comments on Proposition 1.4.4.2

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Comment #64 by Tim Holzschuh on

"Typo": Using our assumption that is an -category, we can extend to a 3-simplex [] of ."

Comment #65 by Tim Holzschuh on

"Then the face is a homotopy from to ." - I think formally you're constructing a homotopy , which obviously suffices by 1.4.3.5. Maybe you want to switch and in or sth. like that though.

Comment #71 by Kerodon on

Thanks! But it looks to me like (by the convention of definition 003V) it is a homotopy from h to h'?

Comment #72 by Tim Holzschuh on

Ah you're right, my fault; sorry.

There are also:

  • 13 comment(s) on Chapter 1: The Language of $\infty $-Categories
  • 4 comment(s) on Section 1.4: $\infty $-Categories

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