Geodesic
On the number of minimal pairs of compact convex sets that are not translates of one another
J. Grzybowski1 ; R. Urbański1
1Faculty of Mathematics and Computer Science Adam Mickiewicz University Umultowska 87 61-614 Poznań, Poland
Studia Mathematica, Tome 158 (2003) no. 1, pp. 59-63
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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 $\aleph _{0}$.
DOI : 10.4064/sm158-1-5
Keywords: family pairs compact convex sets equivalent prove cardinality set minimal pairs translates another either greater aleph

J. Grzybowski  1   ; R. Urbański  1

1 Faculty of Mathematics and Computer Science Adam Mickiewicz University Umultowska 87 61-614 Poznań, Poland 
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J. Grzybowski; R. Urbański. On the number of minimal pairs of compact
 convex sets that are not translates of one another. Studia Mathematica, Tome 158 (2003) no. 1, pp. 59-63. doi: 10.4064/sm158-1-5

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