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Sasha
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Transproting model structures via adjunctions

Hello,

If $F$ is a left adjoint between $C$ and $D$, and $D$ has a model structure; We can define cofibrations and equivalences in $C$ to be those that are so after applying $F$. What are criterions for this to define a model structure? Where can I find a discussion? Also, the dual question about a right adjoint.

Thank you, Sasha

Sasha
  • 5.6k
  • 20
  • 45