query: Poincaré's conjecture, revisited
positive_passages.docid: 154009
positive_passages.text: Closed, simply connected manifolds which are not spheres
negative_passages.docid: 6270
negative_passages.text: Poincaré inequality for a subspace of $H^1(\Omega)$
negative_passages.docid: 42048
negative_passages.text: Markov's paper on insolubility of the homeorphy problem
negative_passages.docid: 115224
negative_passages.text: Equivalences of $\diamondsuit$-principle.
negative_passages.docid: 84419
negative_passages.text: Product of manifolds & orientability
negative_passages.docid: 3310
negative_passages.text: Application of Liouville's Theorem
negative_passages.docid: 122041
negative_passages.text: Emmy Noether's theorem in simpler terms
negative_passages.docid: 92050
negative_passages.text: Poincaré's theorem about groups
negative_passages.docid: 22842
negative_passages.text: The Interpretation of $|\psi|^2$ and the No-Clone Theorem
negative_passages.docid: 122352
negative_passages.text: Topologies in a Riemannian Manifold
negative_passages.docid: 54395
negative_passages.text: Is Poincare recurrence relevant to our universe?
negative_passages.docid: 35571
negative_passages.text: Euler Rotations in Ordinary Space
negative_passages.docid: 150005
negative_passages.text: Existence of points in a differentiable function
negative_passages.docid: 149762
negative_passages.text: Are there any Combinatoric proofs of Bertrand's postulate?
negative_passages.docid: 151285
negative_passages.text: Existence of a local geodesic frame
negative_passages.docid: 77867
negative_passages.text: Existence of a Riemannian metric inducing a given distance.
negative_passages.docid: 35751
negative_passages.text: Is There a Problem with This Professor's Proof Concerning Interior and Boundary Points?