Resolves Arkor's conjecture with equivalent characterizations of exponentiable virtual double categories via cell decompositions and proves several classes including cospans are exponentiable.
To begin characterizing exponentiable VDC morphisms, we begin by rela- tivizing Definition 4.9
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Exponentiable Virtual Double Categories and Representability of Exponentials
Resolves Arkor's conjecture with equivalent characterizations of exponentiable virtual double categories via cell decompositions and proves several classes including cospans are exponentiable.