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Timeline for Extending a functor up to homotopy

Current License: CC BY-SA 4.0

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Jun 4, 2018 at 14:47 comment added Philippe Gaucher My goal would be to find a Quillen equivalence $\mathcal{M}\to \mathcal{N}$ such that the composite functor $\mathcal{A}\to\mathcal{M}\to \mathcal{N}$ is extendable to a functor from $\mathcal{B}\to \mathcal{N}$. There is no canonical choice for $F'$. Maybe there is a way to encode all the possible choices. I would be interested in seeing how similar problems are treated in the literature.
Jun 4, 2018 at 14:33 comment added Denis Nardin What's your goal here?
Jun 4, 2018 at 9:11 history asked Philippe Gaucher CC BY-SA 4.0