Herden, Gerhard; Pallack, Andreas(Universitat Politècnica de València, 2004-10-01)
[EN] Let “≤” be a continuous total preorder on some topological space (X, t). Then the cardinality or at least lower and upper bounds of the cardinality of the indifference (equivalence) classes of “≤ ” will be computed. ...
Bosi, Gianni; Herden, Gerhard(Universitat Politècnica de València, 2002-10-01)
[EN] Let X be an arbitrary set. Then a topology t on X is completely useful if every upper semicontinuous linear preorder on X can be represented by an upper semicontinuous order preserving real-valued function. In this ...