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Topic:
Poincare Conjecture
Replies:
8
Last Post:
Sep 17, 2006 2:03 PM




Re: Poincare Conjecture
Posted:
Sep 17, 2006 8:59 AM


In article <ee60bf$ko8$1@panix2.panix.com>, lrudolph@panix.com (Lee Rudolph) wrote:
> The difficult theorem I referred to is a theorem of, I think, Bing (or > maybe Moise, or maybe someone else in that circledon't make me look > for it!) to the effect that a 3manifold M is simply connected if and > only if every knot in M is contained in a 3ball in M. That is *very* > nonobvious...
Yes, because it proves the Poincare conjecture if you use the following theorem of Bing:
A closed, connected 3manifold is the 3sphere if and only if every knot lies in a 3ball.
:)



