Kerodon

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

Comments on Proposition 1.3.3.1

Go back to the page of Proposition 1.3.3.1.


Comment #128 by Eye on

Typo: the image of the morphism under is first denoted by and then by .

Comment #132 by Kerodon on

Yep. Thanks!

Comment #1260 by Alf on

Can the nerve be considered as a fully faithful 2-functor? This statement implies that two categories are isomorphic if and only if their nerves are. But equivalence of categories is more natural than isomorphism of categories. So can equivalence between categories be expressed as a relation between their nerves?

There are also:

  • 13 comment(s) on Chapter 1: The Language of $\infty $-Categories
  • 2 comment(s) on Subsection 1.3.3: Recovering a Category from its Nerve

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Your email address will not be published.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 002Z. The letter 'O' is never used.