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Thurston elliptization conjecture
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<p><a href="/facts/William_Thurston/K1Qe8801">William Thurston</a>'s elliptization conjecture states that a closed <a href="/facts/Manifold/rXPERJtu">3-manifold</a> with finite <a href="/facts/Fundamental_group/VyYtLqSP">fundamental group</a> is <a href="/facts/Spherical_3-manifold/8zJWCqh9">spherical</a>, i.e. has a <a href="/facts/Riemannian_metric/5KYnmEgF">Riemannian metric</a> of constant positive sectional curvature. </p>