On the existence of isotone Galois connections between preorders. (English) Zbl 1444.06003

Glodeanu, Cynthia Vera (ed.) et al., Formal concept analysis. 12th international conference, ICFCA 2014, Cluj-Napoca, Romania, June 10–13, 2014. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 8478, 67-79 (2014).
Summary: Given a mapping \(f : A \rightarrow B\) from a preordered set \(A\) into an unstructured set \(B\), we study the problem of defining a suitable preordering relation on \(B\) such that there exists a mapping \(g : B \rightarrow A\) such that the pair \((f,g)\) forms an adjunction between preordered sets.
For the entire collection see [Zbl 1290.68008].


06A15 Galois correspondences, closure operators (in relation to ordered sets)
Full Text: DOI