Dear Mike, A good recent account is in: A. Carboni, G. Janelidze, G. M. Kelly, and R. Par\'e, On localization and stabilization for factorization systems, Applied Categorical Structures (1997), no. 1, 1–58. Richard On Sun, Apr 20, 2014, at 10:24 PM, Michael Barr wrote:
First let me explain that our math dept email system has been down for ten days and there is no indication when it will be back, although our sysop has been working on it day and night. I will circulate an announcement when it is running again. Meantime, use this address.
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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