Subject: categories: Re: Skeleton of a category

From: Paul Taylor <[email-masked]>
Date: Mon, 20 Sep 1999 18:44:56 +0100 (BST)

> 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