Absolutely Cocomplete Category
A category is absolutely cocomplete if the Yoneda Embedding has a Left Adjoint. This induces some very strong Cocompleteness conditions on , as Left Adjoints Preserve Colimits and Presheaf Categories are Cocomplete.
A category is absolutely cocomplete if the Yoneda Embedding has a Left Adjoint. This induces some very strong Cocompleteness conditions on , as Left Adjoints Preserve Colimits and Presheaf Categories are Cocomplete.