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We give an explicit construction of the category Opetope of opetopes. We prove that the category of opetopic sets is equivalent to the category of presheaves over Opetope.
@article{TAC_2003_11_a15, author = {Eugenia Cheng}, title = {The category of opetopes and the category of opetopic sets}, journal = {Theory and applications of categories}, pages = {353--374}, publisher = {mathdoc}, volume = {11}, year = {2003}, language = {en}, url = {http://geodesic.mathdoc.fr/item/TAC_2003_11_a15/} }
Eugenia Cheng. The category of opetopes and the category of opetopic sets. Theory and applications of categories, Tome 11 (2003), pp. 353-374. http://geodesic.mathdoc.fr/item/TAC_2003_11_a15/