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From: Michael Barr <barr@barrs.org>
To: Categories list <categories@mta.ca>
Subject: AB4.5
Date: Tue, 11 Apr 2000 11:56:27 -0400 (EDT)	[thread overview]
Message-ID: <Pine.LNX.4.10.10004111151420.27061-100000@triples.math.mcgill.ca> (raw)

The file ab45.zip, that includes both the dvi and ps version, is now
available at ftp.math.mcgill.ca/pub/barr.  It is a preliminary version
because I want to investigate if the condition is really stronger than
AB4.  The following consideration raises the possibility that it might not
be.  One place to look to distinguish AB4* from AB4.5* might be in the
abelian groups of a topos.  But in order for the abelian groups of a topos
to satisfy AB4*, you need AC (in the topos).  But AC implies dependent
choice and then it looks like you have AB4.5*, which really is just like
dependent choice.

Michael




             reply	other threads:[~2000-04-11 15:56 UTC|newest]

Thread overview: 2+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2000-04-11 15:56 Michael Barr [this message]
  -- strict thread matches above, loose matches on Subject: below --
2000-04-03 22:12 AB4.5 Michael Barr

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