From: "Marta Bunge" <martabunge@hotmail.com>
To: categories@mta.ca
Subject: RE: Construction of a real closure
Date: Thu, 04 May 2006 18:20:08 -0400 [thread overview]
Message-ID: <12037.9440639683$1241019212@news.gmane.org> (raw)
Dear Michael,
>Is there a reference for the fact that a countable decidably ordered field
>has a constructable (and decidably ordered) real closure?
>
In my paper "Sheaves and Prime Model Extensions", J. of Algebra 68 (1981)
79-96, there is a proof of the existence of the real closure of an ordered
field in any elementary topos, plus considerations about the failure of the
existence of the algebraic closure. The context is more general (model
theory in toposes), and there are other instances which I do not recall
offhand. Maybe that is not what you are asking? I thought that I would
mention it, just in case.
Best,
Marta
next reply other threads:[~2006-05-04 22:20 UTC|newest]
Thread overview: 13+ messages / expand[flat|nested] mbox.gz Atom feed top
2006-05-04 22:20 Marta Bunge [this message]
-- strict thread matches above, loose matches on Subject: below --
2006-05-07 20:28 Marta Bunge
2006-05-06 13:53 Michael Barr
2006-05-06 2:24 Eduardo Dubuc
2006-05-05 20:34 Peter Freyd
2006-05-05 14:55 John Baez
2006-05-05 13:45 Peter Freyd
2006-05-05 13:30 Marta Bunge
2006-05-05 12:22 Michael Barr
2006-05-05 2:14 Phil Scott
2006-05-04 23:28 Michael Barr
2006-05-04 22:20 Marta Bunge
2006-05-04 15:22 Michael Barr
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