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Jonathan Beardsley
7:18 PM
Suppose I have a simplicial model category $C$, and a fibration $f:A\to B$ in $C$. Given another object $X$, is the pushforward map $f_\ast:Map(X,A)\to Map(X,B)$ a fibration of simplicial sets?
Maybe I need $X$ to be cofibrant?
Alexander Campbell
7:46 PM
@JonathanBeardsley If $X$ is cofibrant, then yes.
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