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• W2172068359 abstract "The small object argument is a transfinite construction which, starting from a set of maps in a category, generates a weak factorisation system on that category. As useful as it is, the small object argument has some problematic aspects: it possesses no universal property; it does not converge; and it does not seem to be related to other transfinite constructions occurring in categorical algebra. In this paper, we give an algebraic refinement of the small object argument, cast in terms of Grandis and Tholen's natural weak factorisation systems, which rectifies each of these three deficiencies." @default.
• W2172068359 created "2016-06-24" @default.
• W2172068359 creator A5045461807 @default.
• W2172068359 date "2008-04-04" @default.
• W2172068359 modified "2023-09-27" @default.
• W2172068359 title "Understanding the Small Object Argument" @default.
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• W2172068359 doi "https://doi.org/10.1007/s10485-008-9137-4" @default.
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