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$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$

Comments on Remark 2.2.8.30

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Comment #2070 by Omri on

I might be wrong, but need not be a category. Indeed, an example is where is the monoidal category of vector spaces over some field . The field itself is an isomorphism (where is the unique object of ), and the zero map is a non-invertible -morphism in .

Comment #2072 by Kerodon on

If a 2-morphism is not invertible, then (by definition) it does not belong to the core.

There are also:

  • 4 comment(s) on Chapter 2: Examples of $\infty $-Categories
  • 2 comment(s) on Section 2.2: The Theory of $2$-Categories

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