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$\Newextarrow{\xRightarrow}{5,5}{0x21D2}$ $\newcommand\empty{}$
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Comments on Corollary 1.5.3.5

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Comment #1257 by Alf on

This corollary implies that the functor from the category of simplicial sets to the category of categories sending a simplicial set to its homotopy category is left adjoint to the nerve functor .

However, the proof given in the above link doesn't explicitly use the fact that is left adjoint to .

So I wonder: does the proof use implicitly?

I'm confused.

Comment #1298 by Alf on

Why don't you answer questions here, only replying to typos, Jacob?

There are also:

  • 15 comment(s) on Chapter 1: The Language of $\infty $-Categories
  • 2 comment(s) on Subsection 1.5.3: The $\infty $-Category of Functors

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