Kerodon

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

Comments on Proposition 7.3.1.15

Go back to the page of Proposition 7.3.1.15.


Comment #1355 by Daniel Gratzer on

I believe the reference to Remark 7.3.1.10 is inaccurate in this proof: this Remark allows us to change out for something isomorphic, but we are really attempting to change for something isomorphic. While not directly stated, I believe this follows from 7.1.3.13: passing from to a homotopy out of a cylinder object of witnessing and then applying 7.1.3.13 once more to pass back to a map out of "on the other side" of . For symmetry, however, perhaps this should be recorded more directly.

Comment #1365 by Kerodon on

Yep. Thanks!

Comment #1917 by Claudius on

“we see that the natural map [...] is an equivalence of left fibrations over

Comment #1918 by Claudius on

In the proof of (2), the roles of “” and “” seem to be confused, and similarly for the roles of “” and “”.

Comment #1925 by Kerodon on

Yep. Thanks!

There are also:

  • 3 comment(s) on Chapter 7: Limits and Colimits
  • 2 comment(s) on Section 7.3: Kan Extensions

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