Re: Compact subsets of {0,1}^N



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
.