Dualities between finitely separated structures
Rings and Algebras
2012-12-18 v1 Logic
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.
Cite
@article{arxiv.1212.3758,
title = {Dualities between finitely separated structures},
author = {Wiesław Kubiś and Krzysztof Pszczoła},
journal= {arXiv preprint arXiv:1212.3758},
year = {2012}
}
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24 pages