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We show that the (positive) zoom complexes, with fairly natural morphisms, form a dual category to the category of positive opetopes with contraction epimorphisms. We also show how this duality can be slightly extended to positive opetopic cardinals.
@article{TAC_2024_40_a11, author = {Marek Zawadowski}, title = {Duality for positive opetopes and positive zoom complexes}, journal = {Theory and applications of categories}, pages = {337--370}, publisher = {mathdoc}, volume = {40}, year = {2024}, language = {en}, url = {http://geodesic.mathdoc.fr/item/TAC_2024_40_a11/} }
Marek Zawadowski. Duality for positive opetopes and positive zoom complexes. Theory and applications of categories, Bunge Festschrift, Tome 40 (2024), pp. 337-370. http://geodesic.mathdoc.fr/item/TAC_2024_40_a11/