The general non-strict case is covered in some detail in chapter 4 of Ad??mek, Herrlich, Strecker: Abstract and Concrete Categories - The Joy of Cats katmat.math.uni-bremen.de/acc/acc.pdf??? Best, Till Am 20.04.2014 14:24, schrieb Michael Barr:
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Is there one place that develops all the properties of factorization systems? We are especially interested in the non-strict case, that is in which the right factor needn't be epic, nor the left factor be monic, but the unique diagonal fill-in condition holds.
Michael
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