Kerodon

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

Comments on Corollary 4.6.7.25

Go back to the page of Corollary 4.6.7.25.

Comment #1978 by Viktor Burghardt on

  1. There is a typo in the first sentence: "Let be a final object of ."
  2. The proof is missing the dual case where has an initial object: "Let be an initial object of . Then can be viewed as a final object of (Remark 4.6.7.2) and the inclusion is right anodyne (Corollary 4.6.7.24). The opposite morphism is thus left anodyne (Remark 4.2.4.3), and therefore a weak homotopy equivalence (Proposition 3.1.6.14)."

Comment #1980 by Kerodon on

Yep; thanks!

There are also:

  • 2 comment(s) on Chapter 4: The Homotopy Theory of $\infty $-Categories
  • 2 comment(s) on Section 4.6: Morphism Spaces
  • 1 comment(s) on Subsection 4.6.7: Initial and Final Objects

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Your email address will not be published.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 02P2. The letter 'O' is never used.