Relations and topologies
Josef Šlapal · Czechoslovak Mathematical Journal · 1993
Recently, ternary relations have been intensively studied by V. Novak and M. Novotny in a series of papers.In [6] these authors dealt with the problem of representation of ternary relations on a set G by binary relations on G 3 .In [7] M. Novotny represented the former ones by grupoids on the power set of G.In this note we investigate the possibility of representing ternary relations on a given set by topologies in Cecil's sense on this set.First of all, however, with any relation of type a (a an ordinal) we associate a topology and study these associated topologies. PRELIMINARIES