Abstract
We establish that, for a co-analytic set X in a Polish space E, the Skorokhod space $D_1(X)$ is also co-analytic in the Polish space $D_1(E)$. At the same time, for a Suslin set $X \subset E$, $D_1(X)$ need not even be universally measurable in~$D_1(E)$.
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