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

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Chan-Ho Suh

Posts: 425
Registered: 12/10/04
Re: Poincare Conjecture
Posted: Sep 17, 2006 9:04 AM
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In article <ee45ki$8ki$>, (Lee Rudolph) wrote:

> By putting together a number of non-trivial theorems that were
> proved decades ago, it can be shown that the Poincare Conjecture
> is equivalent to the claim that under these conditions, M actually
> is "just the same as" (technically, "homeomorphic to") the usual
> inside of S.

Well, I think what you're trying to say is that there is a statement
about homotopy 3-ball implies 3-ball and it is equivalent to normal
version of PC. That doesn't require any hard theorems, just standard
algebraic topology. I there may be a little mixup here (cf my response
to your other post).

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