Talk:Riemann mapping theorem

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[edit] Clarification for fractal boundaries

The article states that the theorem holds for domains with fractal (non-differentiable) boundaries. An appeal is made to the Dirichlet principle, but its then hinted that the Dirichlet principle is suspect. Thus, the proof for the general case of a fractal boundary seems uncertain ... can the status be clarified? linas 03:28, 26 August 2006 (UTC)