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Can all non-concrete categories be constructed by taking a concrete category and identifying some of its morphisms?

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    Or rather: Given any category, can we find a suitable concrete category such that ... Personally, I doubt that.2012-12-04
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    All small categories are concrete. Categories that fail to be locally small cannot possibly be quotients of concrete categories, but it is possible to obtain non-locally-small categories by _localising_ concrete categories.2012-12-04

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