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From: Gaucher Philippe <gaucher@pps.jussieu.fr>
To: categories@mta.ca
Subject: what happens when a basic sentence is added ?
Date: Thu, 10 Feb 2011 11:59:48 +0100	[thread overview]
Message-ID: <E1PnjX5-0005HW-0M@mlist.mta.ca> (raw)

Dear categorists,

I have a question which is probably obvious except for me... Take a limit
theory T. Add a basic sentence to this theory to obtain a theory T'. So
Mod(T') is accessible, Mod(T) is locally presentable. Is Mod(T') accessibly-
embedded, i.e. does Mod(T')\subset Mod(T) preserve filtered colimits for a big
enough regular cardinal ? Or in other terms, what is going on when a basic
axiom is added. I cannot find any answer in Adamek&Rosicky's book. Of course I
ask you the question because this is my situation. In my situation T and T'
are purely relational and the signature contains the same four relation
symbols. The only difference between T and T' is an additional axiom which is a
basic sentence.

thanks in advance. pg.


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             reply	other threads:[~2011-02-10 10:59 UTC|newest]

Thread overview: 2+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2011-02-10 10:59 Gaucher Philippe [this message]
2011-02-11 16:36 ` Jiri Adamek

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