From: Eduardo Dubuc <edubuc@dm.uba.ar>
To: Categories <categories@mta.ca>
Subject: size_question_bis
Date: Tue, 28 Jun 2011 15:44:47 -0300 [thread overview]
Message-ID: <E1Qbenb-0007s1-E9@mlist.mta.ca> (raw)
The question arose by considering the usual completion into a small site
with finite limits of any small set of generators.
You take all finite limits of generators, and repite this dennumerable
times.
Then, already at the first step, you get a large subcategory.
What happens ?
If you choose one copy of the limit for each finite diagram, certainly
it is not what it is done in the literature.
If you do not choose one copy, which set of copies do you take ?
Thus the completion of a set of generators into a site with finite
limits depend on choice ?
e.d.
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reply other threads:[~2011-06-28 18:44 UTC|newest]
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