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From: Paul Taylor <pt@dcs.qmw.ac.uk>
To: categories@mta.ca
Subject: Re: Skeleton of a category
Date: Mon, 20 Sep 1999 18:44:56 +0100 (BST)	[thread overview]
Message-ID: <199909201744.SAA04812@wax.dcs.qmw.ac.uk> (raw)

> Would you let me know when the category has an equivalent skeleton?

"every small category has a skeleton"  iff  the axiom of choice holds.

See Exercise 3.26 in my book, or
	http://www.dcs.qmw.ac.uk/~pt/book/html/s3e.html#e3.26
for a preorder example.

Exercise 4.37 defines "skeletal"
	http://www.dcs.qmw.ac.uk/~pt/book/html/s4e.html#e4.37

Paul



             reply	other threads:[~1999-09-20 17:44 UTC|newest]

Thread overview: 2+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
1999-09-20 17:44 Paul Taylor [this message]
  -- strict thread matches above, loose matches on Subject: below --
1999-09-20 17:06 Hongseok Yang

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