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arXiv · 1304.6974

On a fat small object argument

Michael Makkai·Jiří Rosický·Lukáš Vokřínek
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Abstract

Good colimits introduced by J. Lurie generalize transfinite composites and provide an important tool for understanding cofibrant generation in locally presentable categories. We will explore the relation of good colimits to transfinite composites further and show, in particular, how they eliminate the use of large objects in the usual small object argument.

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Michael Makkai, Jiří Rosický, Lukáš Vokřínek. 2013-04-25. On a fat small object argument. https://arxiv.org/abs/1304.6974

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