How nice are free completions of categories?

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Authors	ADÁMEK Jiří ROSICKÝ Jiří
Year of publication	2020
Type	Article in Periodical
Magazine / Source	Topology and its Applications
MU Faculty or unit	Faculty of Science
Citation
web	https://doi.org/10.1016/j.topol.2019.106972
Doi	https://doi.org/10.1016/j.topol.2019.106972
Keywords	completions of categories; cartesian closed categories; toposes
Description	Every category has a free completion under colimits and a free completion under coproducts. A number of properties of the category transfer to its completions. We discuss when these completions are cartesian closed, pretoposes, or toposes.
Related projects:	Modelové kategorie Injektivita a monády v algebře a topologii