Comments on Proposition

Go back to the page of Proposition

Comment #405 by Nicholas Mertes on

Can we state a similar proposition in the "other direction?" In particular, let be an -category. Can we endow with the structure of a locally Kan simplicial category such that the -category is isomorphic (or perhaps only equivalent) to ? This would mean that we could use a simplicial structure on to "put back" the information lost by passing from to .

Comment #406 by Kerodon on

The projection map from an -category to its homotopy category usually does not have a section.

There are also:

  • 2 comment(s) on Chapter 2: Examples of $\infty $-Categories
  • 2 comment(s) on Section 2.4: Simplicial Categories

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Your email address will not be published.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 00M4. The letter 'O' is never used.