2012/12/16 by Wiesław Kubiś, Kubiś, Wiesław, Krzysztof Pszczoła +1
Computer Science · Mathematics · #06D50 #08C20. Secondary: 03E75 #18A40 #54H10 #Advanced Algebra and Logic #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Logic (math.LO) #Primary: 03C52 #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.LO #math.RA #msc:03C52 #msc:03E75 #msc:06D50 #msc:08C20. #msc:18A40 #msc:54H10
paper · pdf · doi:10.48550/arxiv.1212.3758
24 pages
arxiv created 2012/12/16 · openalex publication_date 2012/12/16 · arxiv updated 2012/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.