Kerodon

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

Comments on Proposition 2.4.6.8

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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 Section 2.4: Simplicial Categories

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