On the cardinality of indifference classes


  • Gerhard Herden Universität Duisburg-Essen
  • Andreas Pallack Universität Duisburg-Essen




Indifference potency, Calculable set, Degree of connectedness, Path rank, Separation rank


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. In addition, the relevance of these bounds in mathematical utility theory and the theory of orderable topological spaces will be discussed.


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How to Cite

G. Herden and A. Pallack, “On the cardinality of indifference classes”, Appl. Gen. Topol., vol. 5, no. 2, pp. 173–190, Oct. 2004.