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Topic: Order Isomorphic
Replies: 5   Last Post: Feb 3, 2013 12:13 PM

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David C. Ullrich

Posts: 21,553
Registered: 12/6/04
Re: Order Isomorphic
Posted: Feb 3, 2013 12:13 PM
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On Sat, 02 Feb 2013 21:47:53 -0500, Shmuel (Seymour J.) Metz
<spamtrap@library.lspace.org.invalid> wrote:

>In <r04lg810egbbh5juh1rkkasbd87206v380@4ax.com>, on 01/31/2013
> at 09:42 AM, David C. Ullrich <ullrich@math.okstate.edu> said:
>

>>Have you thought about this even a little bit?
>
>Read the question again; he's not asking about Omega_0.


Oops.

>
>>Let s_0 be the smallest element of S.
>
>He specified that S is uncountable; you have to use transfinite
>induction.
>

>>It's easy to show that S = {s_n}
>
>It would be if S were a subset of Omega_0, but it's not.





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