Functors Determined by Values on Objects | Zendy

Daniela Cancila | Zendy; Furio Honsell | Zendy; Marina Lenisa | Zendy

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Functors Determined by Values on Objects

Author(s) -

Daniela Cancila,

Furio Honsell,

Marina Lenisa

Publication year - 2006

Publication title -

electronic notes in theoretical computer science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.242

H-Index - 60

ISSN - 1571-0661

DOI - 10.1016/j.entcs.2006.04.009

Subject(s) - functor , natural transformation , isomorphism (crystallography) , functor category , derived functor , mathematics , adjoint functors , pure mathematics , ext functor , bounded function , focus (optics) , exact functor , chemistry , mathematical analysis , physics , crystal structure , optics , crystallography

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 (κ-bounded) powerset functor is not DVO

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