On a fat small object argument

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Authors

MAKKAI Mihály ROSICKÝ Jiří VOKŘÍNEK Lukáš

Year of publication 2014
Type Article in Periodical
Magazine / Source Advances in Mathematics
MU Faculty or unit

Faculty of Science

Citation
Doi http://dx.doi.org/10.1016/j.aim.2013.12.012
Field General mathematics
Keywords good colimit; cofibrant generation; small object argument
Description 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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