Functors Determined by Values on Objects

Functors which are determined, up to natural isomorphism, by their values on objects, are called DVO (Defined by Values on Objects). We focus on the collection of polynomial functors on a category of sets (classes), and we give a characterization theorem of the DVO functors over such collection of functors. Moreover, we show that the (-bounded) powerset functor is not DVO. Key words: category of sets (classes), set functor, inclusion preserving functor, DVO functor.

• Type: Journal
• Year: 2006
• Where: ENTCS
• Authors: Daniela Cancila, Furio Honsell, Marina Lenisa
• Keywords: ENTCS 2006, Functor, Natural Isomorphism, Polynomial Functors