Assertion: manifold paper | /r/HasProperty | homeomorphic
Facets:
value: despite all the initial confusion
type: OTHER
value: to a sphere
type: TRANSITIVE-OBJECT
value: to the 3-sphere
type: OTHER
Source sentences:
text: In 1958 Bing proved a weak version of the Poincaré conjecture: if every simple closed curve of a compact 3-manifold is contained in a 3-ball, then the manifold is homeomorphic to the 3-sphere.
text: Then he rebuilds the original manifold by connecting the spheres together with three-dimensional cylinders, morphs them into a round shape and sees that, despite all the initial confusion, the manifold was in fact homeomorphic to a sphere.