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As far as i know the name "monster theorem" concerns hyperbolisation for Haken manifolds, as you guessed, so i made the edit you suggested. It would be good to have a reference there, one i am aware of is the intro to Misha
Kapovich's book "Hyperbolic manifolds and discrete groups" where he calls it
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To complete the picture, Thurston proved a hyperbolization theorem for Haken manifolds. A particularly important corollary is that many knots and links are in fact hyperbolic. Together with his hyperbolic Dehn surgery theorem, this showed that closed hyperbolic 3-manifolds existed in great
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If not, I still hope someone knowledgeable about this subject can clarify just what theorem "the geometrization theorem" refers to in this passage. (Clearly it is not the full geometrization theorem proved by
Perelman.)
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The
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In this passage it appears that the words "the geometrization theorem" is essentially referring to the hyperbolization theorem for Haken manifolds.
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Would the people who created/edited this article please add source citations for the biographical info mentioned in the article, as per
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Certainly his other accomplishments dwarf winning the book prize, but the bar for inclusion is not as high as that. --
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If so, I hope someone knowledgeable about this subject will make that much clearer.
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Certainly he lived in the D.C. area for most of his life before going to college.
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But I had thought he was born in the
Netherlands. Is that not the case?
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The article states that
Thurston was born in Washington, D.C.
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Thank you, jraimbau! That passage is much clearer now.
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See also Terry Tao's blog, terrytao.wordpress.com. Â :-(
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