Dualities between finitely separated structures
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2012
- DOI:
- 10.48550/arXiv.1212.3758
- arXiv:
- arXiv:1212.3758
- Bibcode:
- 2012arXiv1212.3758K
- Keywords:
-
- Mathematics - Rings and Algebras;
- Mathematics - Logic;
- Primary: 03C52;
- 08C20. Secondary: 03E75;
- 06D50;
- 18A40;
- 54H10
- E-Print:
- 24 pages