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Topic: Constructibility of X -> X^2 bijection
Replies: 57   Last Post: Aug 3, 2007 6:17 AM

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Daryl McCullough

Posts: 1,939
Registered: 1/29/05
Re: Constructibility of X -> X^2 bijection
Posted: Jul 27, 2007 3:51 PM
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Stephen J. Herschkorn says...

>Do you consider the prood of Cantor-Shroeder-Bernstein to be
>constructive? If so, Kunen shows how to build an injection from k x k
>to k when k is an infinite cardinal


That's the part that I was wondering about. What is the injection
from k x k -> k?

Of course, I know of such injections for the case
k = omega and k = 2^omega, but those don't obviously
generalize to other cardinals.

--
Daryl McCullough
Ithaca, NY



Date Subject Author
7/26/07
Read Constructibility of X -> X^2 bijection
theronruiz@yahoo.com
7/26/07
Read Re: Constructibility of X -> X^2 bijection
Arnaud Dagnelies
7/27/07
Read Re: Constructibility of X -> X^2 bijection
i.am.a.whiz@math.junk.domain
7/27/07
Read Re: Constructibility of X -> X^2 bijection
Dave Seaman
7/27/07
Read Re: Constructibility of X -> X^2 bijection
Herman Rubin
7/26/07
Read Re: Constructibility of X -> X^2 bijection
Robert Israel
7/26/07
Read Re: Constructibility of X -> X^2 bijection
theronruiz@yahoo.com
7/26/07
Read Re: Constructibility of X -> X^2 bijection
Robert Israel
7/26/07
Read Re: Constructibility of X -> X^2 bijection
theronruiz@yahoo.com
7/26/07
Read Re: Constructibility of X -> X^2 bijection
fishfry
7/27/07
Read Re: Constructibility of X -> X^2 bijection
hagman
7/27/07
Read Re: Constructibility of X -> X^2 bijection
Daryl McCullough
7/27/07
Read Re: Constructibility of X -> X^2 bijection
Stephen J. Herschkorn
7/27/07
Read Re: Constructibility of X -> X^2 bijection
Daryl McCullough
7/27/07
Read Re: Constructibility of X -> X^2 bijection
Stephen J. Herschkorn
7/27/07
Read Re: Constructibility of X -> X^2 bijection
i.am.a.whiz@math.junk.domain
7/28/07
Read Re: Constructibility of X -> X^2 bijection
Michael Press
7/26/07
Read Re: Constructibility of X -> X^2 bijection
Rupert
7/26/07
Read Re: Constructibility of X -> X^2 bijection
theronruiz@yahoo.com
7/26/07
Read Re: Constructibility of X -> X^2 bijection
Peter Webb
7/26/07
Read Re: Constructibility of X -> X^2 bijection
Rupert
7/27/07
Read Re: Constructibility of X -> X^2 bijection
David C. Ullrich
7/28/07
Read Re: Constructibility of X -> X^2 bijection
Peter Webb
7/28/07
Read Re: Constructibility of X -> X^2 bijection
Stephen J. Herschkorn
7/28/07
Read Re: Constructibility of X -> X^2 bijection
Dave Seaman
7/28/07
Read Re: Constructibility of X -> X^2 bijection
Peter Webb
7/28/07
Read Re: Constructibility of X -> X^2 bijection
Stephen J. Herschkorn
7/28/07
Read Re: Constructibility of X -> X^2 bijection
Peter Webb
7/28/07
Read Re: Constructibility of X -> X^2 bijection
Stephen J. Herschkorn
7/29/07
Read Re: Constructibility of X -> X^2 bijection
Peter Webb
7/30/07
Read Re: Constructibility of X -> X^2 bijection
Herman Rubin
7/28/07
Read Re: Constructibility of X -> X^2 bijection
theronruiz@yahoo.com
7/30/07
Read Re: Constructibility of X -> X^2 bijection
Herman Rubin
7/30/07
Read Re: Constructibility of X -> X^2 bijection
Rupert
7/31/07
Read Re: Constructibility of X -> X^2 bijection
Herman Jurjus
7/31/07
Read Re: Constructibility of X -> X^2 bijection
Stephen J. Herschkorn
7/31/07
Read Re: Constructibility of X -> X^2 bijection
Daryl McCullough
7/31/07
Read Re: Constructibility of X -> X^2 bijection
Stephen J. Herschkorn
7/31/07
Read Re: Constructibility of X -> X^2 bijection
Herman Rubin
7/31/07
Read Re: Constructibility of X -> X^2 bijection
Daryl McCullough
7/31/07
Read Re: Constructibility of X -> X^2 bijection
Herman Rubin
7/31/07
Read Re: Constructibility of X -> X^2 bijection
Stephen J. Herschkorn
8/1/07
Read Re: Constructibility of X -> X^2 bijection
David C. Ullrich
8/1/07
Read Re: Constructibility of X -> X^2 bijection
Stephen J. Herschkorn
8/2/07
Read Re: Constructibility of X -> X^2 bijection
David C. Ullrich
8/2/07
Read Ullrichsim; Was: Constructibility of X -> X^2 bijection
Stephen J. Herschkorn
8/2/07
Read Re: Ullrichism; Was: Constructibility of X -> X^2 bijection
Stephen J. Herschkorn
8/3/07
Read Re: Ullrichism; Was: Constructibility of X -> X^2 bijection
David C. Ullrich
8/3/07
Read Re: Ullrichsim; Was: Constructibility of X -> X^2 bijection
David C. Ullrich
7/28/07
Read Re: Constructibility of X -> X^2 bijection
David Libert
7/28/07
Read Re: Constructibility of X -> X^2 bijection
Stephen J. Herschkorn
7/29/07
Read Re: Constructibility of X -> X^2 bijection
David Libert
7/29/07
Read Re: Constructibility of X -> X^2 bijection
Stephen J. Herschkorn
7/30/07
Read Re: Constructibility of X -> X^2 bijection
Herman Rubin
7/27/07
Read Re: Constructibility of X -> X^2 bijection
David Libert
7/27/07
Read Re: Constructibility of X -> X^2 bijection
Michael Stemper
7/31/07
Read Re: Constructibility of X -> X^2 bijection
David Libert
7/31/07
Read Re: Constructibility of X -> X^2 bijection
David Libert

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