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arXiv · 1212.3758

Dualities between finitely separated structures

Wiesław Kubiś·Krzysztof Pszczoła
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Abstract

We study dualities between classes of relational topological structures, given by Hom-functors. We show that there exists a 2-element structure with infinitely many relations, which reconstructs all other structures generated by a 2-element one. As an application, we find a natural duality for the class of normal convexity structures. As another application, we give short proofs for several known dualities for classes of structures generated by a fixed 2-element structure.

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Wiesław Kubiś, Krzysztof Pszczoła. 2012-12-16. Dualities between finitely separated structures. https://arxiv.org/abs/1212.3758

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