[jkaplowitz]

Oh, copyright law in general is present worldwide through multiple international agreements. Going after the Pirate Bay didn't have to rely on the DMCA.

Even if it had needed to rely on DMCA-like concerns, over a hundred countries worldwide are party to the treaty which mandates a law addressing the scope of the DMCA, so enough other countries have such a law. (The details vary and not all such laws mandate a quick takedown of the allegedly infringing content.)