Re: I Think I Just Broke a Glass into an Infinite Number of Pieces

On Mon, 05 May 2008 05:17:50 -0700, Jim Langston wrote:

> Tim Weaver wrote:
>
>> mimus wrote:
>>
>>> On Sat, 03 May 2008 21:33:59 -0500, Tim Weaver wrote:
>>>
>>>> mimus wrote:
>>>>
>>>>> At least, I swept up at least twice as much glass as could
>>>>> possibly have been in the original.
>>>>>
>>>>> And that's only possible if you do an infinite decomposition of the
>>>>> object, as exemplified by the Tarski-Banach ball.
>>>>>
>>>>> Maybe this is a sign I should mop my kitchen-floor.
>>>>>
>>>>> Will I need an infinite mop?
>>>>
>>>> Yes, if you have a mobius shaped floor.
>>>
>>> Mobius strips are usually finite.
>>>
>>> Just unbounded.
>>>
>>> Neener.
>>
>> By the time you get back to where you started, it's dirty again.
>> Infinite mopping.  Of course, you could try to find a mop that mops
>> an infinite area in one go.
> 
> Yes, but then you'd need an infinite amount of water to mop the infinite

> amount of floor, and since an infinite amount of water would take up an 
> infinite amount of space there'd be no room for the floor to begin with.

What if it was N-water and an N+1-floor?

-- 
tinmimus99@[EMAIL PROTECTED]
 11 or maybe 12

mp 10

mhm 29x13

Given a manifold M with a submanifold N, N can be knotted in M
if there exists an embedding of N in M which is not isotopic to N.
Traditional knots form the case where N = S1 and M = S3.

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