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Comments on Section 4.5

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Comment #447 by Haoqing on

  1. Maybe you mean a morhpism instead of an object in "Phrased differently, a functor F is an equivalence of ∞-categories if it is an isomorphism when viewed as an object of the category ".
  2. Something missing in the sentence "In §4.5.5, we study an important class of categorical equivalences the theory of joins developed in §4.3."
  3. In the (-2)-paragraph, "to employ to use" in "To carry out the proof, it will be useful to employ to use the language of categorical pushout diagrams, which we explain in §4.5.3."

Comment #449 by Kerodon on

Yep. Thanks!

Comment #603 by Tim Holzschuh on

Typo in the third paragraph:

  • "However, we will encounter many other examples of categorical equivalences between simplicial sets ..."

Typo in the fourth paragraph:

  • "Moreover, it suffices (to check) this condition in the special case ...": something is missing here.

Typo's in the last paragraph:

  • "... is inner anodyne (Proposition In ...": there is a "." missing.
  • "... is an isofibration if and only if the following stronger condition (holds):": something is missing here

Comment #616 by Kerodon on

Yep. Thanks!

There are also:

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

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