Duality Theorems for Finite Structures (Characterising Gaps and Good Characterisations)

@article{Nesetril2000DualityTF,
  title={Duality Theorems for Finite Structures (Characterising Gaps and Good Characterisations)},
  author={Jaroslav Nesetril and Claude Tardif},
  journal={J. Comb. Theory, Ser. B},
  year={2000},
  volume={80},
  pages={80-97}
}
We provide a correspondence between the subjects of duality and density in classes of finite relational structures. The purpose of duality is to characterise the structures C that do not admit a homomorphism into a given target B by the existence of a homomorphism from a structure A into C. Density is the order-theoretic property of containing no covers (or ‘gaps’). We show that the covers in the skeleton of a category of finite relational models correspond naturally to certain instances of… CONTINUE READING
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