A remark on conservative cocompletions of categories |
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| Institution: | a Faculty of Electrical Engineering, Technical University, Prague, Czech Republic
b Technical University, Braunschweig, Germany |
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| Abstract: | For a set F of small categories, F-conservative cocompletions of a category are cocompletions preserving all existing colimits of type F. We prove that every category has a free F-conservative cocompletion. However, unless F is trivial, this cocompletion fails in general to be locally small. |
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| Keywords: | 18A35 18A40 |
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