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Free regular and exact completions of categories with various ranks of weak limits are presented as subcategories of presheaf categories. Their universal properties can then be derived with standard techniques as used in duality theory.
@article{TAC_1996_2_a9, author = {Hongde Hu and Walter Tholen}, title = {A note on free regular and exact completions and their infinitary generalizations}, journal = {Theory and applications of categories}, pages = {113--132}, publisher = {mathdoc}, volume = {2}, year = {1996}, language = {en}, url = {http://geodesic.mathdoc.fr/item/TAC_1996_2_a9/} }
TY - JOUR AU - Hongde Hu AU - Walter Tholen TI - A note on free regular and exact completions and their infinitary generalizations JO - Theory and applications of categories PY - 1996 SP - 113 EP - 132 VL - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TAC_1996_2_a9/ LA - en ID - TAC_1996_2_a9 ER -
Hongde Hu; Walter Tholen. A note on free regular and exact completions and their infinitary generalizations. Theory and applications of categories, Tome 2 (1996), pp. 113-132. http://geodesic.mathdoc.fr/item/TAC_1996_2_a9/