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 http://dx.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.
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