On the number of minimal pairs of compact convex sets that are not translates of one another
J. Grzybowski, R. Urbański (2003)
Studia Mathematica
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Let [A,B] be the family of pairs of compact convex sets equivalent to (A,B). We prove that the cardinality of the set of minimal pairs in [A,B] that are not translates of one another is either 1 or greater than ℵ₀.