How nice are free completions of categories?
Authors | |
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Year of publication | 2020 |
Type | Article in Periodical |
Magazine / Source | Topology and its Applications |
MU Faculty or unit | |
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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