Kerodon

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

Comments on Subsection 7.3.9

Go back to the page of Subsection 7.3.9.


Comment #1815 by Bogdan on

Since U is an inner fibration, the vertical maps in this diagram are Kan fibrations (Proposition 4.6.1.20)

I think this implication also uses Corollary 01BV.

In this case, we can use Proposition 5.1.2.1 to identify θu with the restriction map...

I think this implication also uses Theorem 01VG (and isn't it easier to use Proposition 01U8 instead?)

Also, I believe that the second displayed formula has a typo.

Comment #1820 by Kerodon on

Yep. Thanks!

There are also:

  • 3 comment(s) on Chapter 7: Limits and Colimits
  • 2 comment(s) on Section 7.3: Kan Extensions

Post a comment

Your email address will not be published. Required fields are marked.

In your comment you can use Markdown and LaTeX style mathematics (enclose it like $\pi$). A preview option is available if you wish to see how it works out (just click on the eye in the toolbar).

Unfortunately JavaScript is disabled in your browser, so the comment preview function will not work.




In order to prevent bots from posting comments, we would like you to prove that you are human. You can do this by filling in the name of the current tag in the following input field. As a reminder, this is tag 031Q. The letter 'O' is never used.