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Is this set $\sigma$-compact in the Wasserstein space?

It seems $A$ is not $\sigma$-compact. Check my argument as I have never worked with Wasserstein distances. Let $d=1$, let $q$ be the measure supported in $\{0\}$, so that $W_1(q,\mu)=\int|x|d\mu$ for …
Saúl RM's user avatar
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