Re: Compact subsets of {0,1}^N
- From: David C. Ullrich <ullrich@xxxxxxxxxxxxxxxx>
- Date: Tue, 28 Jun 2005 06:28:47 -0500
On Tue, 28 Jun 2005 01:13:26 -0700, William Elliot
<marsh@xxxxxxxxxxxxxxxxxx> wrote:
>A closed nonnul subset K without isolated points of S = {0,1}^N
>is homeomorphic to S. I'm inclided to accept your recent
>version, yet still have the details to rework and verify.
Well let us know when you've actually verified it.
(It may well be right - I'd realized the previous version
was wrong before seeing your complaints about it. Usually
if something of mine survives 24 hours it turns out
to be ok...)
>[stuff I dunno nothing about snipped]
>
>Conclusion: ;-)
> The dyatic cube is nicer and more fun than the Cantor set.
Well yes, although you might say instead that thinking about a
dyadic(sp!) cube is the right way to understand what the
Cantor set really is.
************************
David C. Ullrich
.
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