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
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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 $\aleph _{0}$.
Keywords:
family pairs compact convex sets equivalent prove cardinality set minimal pairs translates another either greater aleph
Affiliations des auteurs :
J. Grzybowski 1 ; R. Urbański 1
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author = {J. Grzybowski and R. Urba\'nski},
title = {On the number of minimal pairs of compact
convex sets that are not translates of one another},
journal = {Studia Mathematica},
pages = {59--63},
publisher = {mathdoc},
volume = {158},
number = {1},
year = {2003},
doi = {10.4064/sm158-1-5},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm158-1-5/}
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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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