From: William Messing <messing@math.umn.edu>
To: "Eduardo J. Dubuc" <edubuc@dm.uba.ar>
Cc: Categories list <categories@mta.ca>
Subject: Re: size_question_reloaded
Date: Mon, 04 Jul 2011 08:11:04 -0500 [thread overview]
Message-ID: <E1QeUpu-0005Or-9v@mlist.mta.ca> (raw)
In-Reply-To: <E1QdgvK-0008S4-4x@mlist.mta.ca>
Concerning Eduardo's question: Now, if you work with a Grothendieck
base topos “as if it were the category of sets”, you are forced to
specify which small category of finite sets you are using, or not ?.
No, in the definition of an U-topos, E, given in SGA 4, Expose IV, § 1,
it is required that E has an U-small (topologically) generating set of
objects. Bu such a set or, equivalently, full subcategory of E, is not
part of the data.
Bill Messing
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next prev parent reply other threads:[~2011-07-04 13:11 UTC|newest]
Thread overview: 3+ messages / expand[flat|nested] mbox.gz Atom feed top
2011-07-03 22:59 size_question_reloaded Eduardo J. Dubuc
2011-07-04 13:11 ` William Messing [this message]
2011-07-05 9:37 ` size_question_reloaded Steven Vickers
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