This is the Ehrenpreis Conjecture, and is still open.
Jeremy Kahn and Vlad Markovic have made some progress recently.
UPDATE: Kahn and Markovic have now announced a proof of the entire conjecture. See http://arxiv.org/abs/1101.1330
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This is the Ehrenpreis Conjecture, and is still open. Jeremy Kahn and Vlad Markovic have made some progress recently. |
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