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We develop in some generality the dualities that often arise when one object lies in two different categories. In our examples, one category is equational and the other consists of the topological objects in a (generally different) equational category.
@article{TAC_2008_20_a14, author = {Michael Barr and John F. Kennison and R. Raphael}, title = {Isbell duality}, journal = {Theory and applications of categories}, pages = {504--542}, publisher = {mathdoc}, volume = {20}, year = {2008}, language = {en}, url = {http://geodesic.mathdoc.fr/item/TAC_2008_20_a14/} }
Michael Barr; John F. Kennison; R. Raphael. Isbell duality. Theory and applications of categories, Tome 20 (2008), pp. 504-542. http://geodesic.mathdoc.fr/item/TAC_2008_20_a14/