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You can't deduce this from the Poincare conjecture, but it follows from the geometrization conjecture/theorems for manifolds and orbifolds. I assume (though I haven't checked) Morgan-TianMorgan-Tian talk about this.

You can't deduce this from the Poincare conjecture, but it follows from the geometrization conjecture/theorems for manifolds and orbifolds. I assume (though I haven't checked) Morgan-Tian talk about this.

You can't deduce this from the Poincare conjecture, but it follows from the geometrization conjecture/theorems for manifolds and orbifolds. I assume (though I haven't checked) Morgan-Tian talk about this.

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Igor Rivin
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You can't deduce this from the Poincare conjecture, but it follows from the geometrization conjecture/theorems for manifolds and orbifolds. I assume (though I haven't checked) Morgan-Tian talk about this.