On 5/20/2012 10:26 PM, meekerdb wrote:
On 5/20/2012 6:53 PM, Stephen P. King wrote:
The result is an exhaustive classification of compact 4-mainifolds. The absence of such a classification neither prevents nor entails the existence of the manifolds.


But you fail to see that without the means to define the manifolds, there is nothing to distinguish a manifold from a fruitloop from a pink unicorn from a ..... Absent the means to distinguish properties there is no such thing as definite properties.

But there are means to distinguish the properties and ways to define different 4-manifolds and ways to determine whether two 4-manifolds are homeomorphic. If there weren't the theorem would be uninteresting. What makes it interesting, just as it is interesting that some programs compute a total function and some don't, it is interesting because there exist enough different 4-manifolds so that it is impossible to have a single algorithm classify them. You seem to be arguing that only a subset that can be calculated by some single algorithm can exist?

Brent

Sorry Brent,

    You are not grasping what I am talking about.

--
Onward!

Stephen

"Nature, to be commanded, must be obeyed."
~ Francis Bacon


--
You received this message because you are subscribed to the Google Groups 
"Everything List" group.
To post to this group, send email to everything-list@googlegroups.com.
To unsubscribe from this group, send email to 
everything-list+unsubscr...@googlegroups.com.
For more options, visit this group at 
http://groups.google.com/group/everything-list?hl=en.

Reply via email to