Take an n-manifold, as topologists like to consider surfaces rather than content, this space may be viewed as a varying n-1-m over the n-th dimension. The topological nature of the n-1-m's determines the nature of the n-manifold.

Taken over ALL possible basis, the Poincare conjecture is reduced to a simple class clause, which given Smales and others results, reduces the problem to a finite cluase, hence the PC is true.

LOL.

Jon Perry
perry@globalnet.co.uk
http://www.users.globalnet.co.uk/~perry/maths/
http://www.users.globalnet.co.uk/~perry/DIVMenu/
BrainBench MVP for HTML and JavaScript
http://www.brainbench.com

-----Original Message-----
From: math-fun-bounces@mailman.xmission.com [mailto:math-fun-bounces@mailman.xmission.com]On Behalf Of asimovd@aol.com
Sent: 10 October 2003 00:28
To: math-fun@mailman.xmission.com
Subject: Re: [math-fun] Rational Group

Jon Perry writes:

<<
... if we consider n-manifolds as spaces
constructed from n-1-manifolds, then the n-manifold is formed by a continous
expansion of varying n-1-mainfolds.
...
>>

There are any number of things that this could mean. Could you spell out what you mean by each of these two clauses?

Thanks,

Dan