you are viewing a single comment's thread.
Shit. Now I can't sleep.Sphere sphere sphere sphere. Ok, here we go:There exist 3-manifolds, not topologically equivalent to the sphere, in which every closed 1-parameter loop may be smoothly shrunk to a point.Proofa. I cannot continuously deform the sphere into a hollow sphere. So those topologies differ.b. Yet any closed 1-parameter path within a hollow sphere clearly CAN be smoothly shrunk to a point. So loopshrinking don't prove spherishness.QED.I still don't feel so sure about this. Do your own due diligence.
now you be quit and wait for yoda