Convex Bodies with Minimal Volume Product in ...
Mathieu Meyer (1991)
Monatshefte für Mathematik
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Mathieu Meyer (1991)
Monatshefte für Mathematik
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Tudor Zamfirescu (1987)
Monatshefte für Mathematik
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R.J. Gregorac (1992)
Monatshefte für Mathematik
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Braß, Peter, Herburt, Irmina (1997)
Beiträge zur Algebra und Geometrie
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A. Bzedek, K. Bzedek, E. Jr. Makai (1991)
Monatshefte für Mathematik
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P. Goodey, W. Weil, M. Kiderlen (1998)
Monatshefte für Mathematik
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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.
Pallaschke, D., Urbańska, W., Urbański, R. (1997)
Journal of Convex Analysis
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Makeev, V.V. (2005)
Journal of Mathematical Sciences (New York)
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Gyula Károlyi (1995)
Monatshefte für Mathematik
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Makeev, V.V. (2005)
Journal of Mathematical Sciences (New York)
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H. Groemer (1983)
Monatshefte für Mathematik
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Jerzy Grzybowski, Diethard Pallaschke, Ryszard Urbański (2009)
Banach Center Publications
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The theory of minimal pairs of bounded closed convex sets was treated extensively in the book authored by D. Pallaschke and R. Urbański, Pairs of Compact Convex Sets, Fractional Arithmetic with Convex Sets. In the present paper we summarize the known results, generalize some of them and add new ones.
Jerzy Grzybowski, Ryszard Urbanski (2003)
Revista Matemática Complutense
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In this paper certain criteria for reduced pairs of bounded closed convex set are presented. Some examples of reduced and not reduced pairs are enclosed.
Ryszard Urbanski (1997)
Collectanea Mathematica
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In this paper the notion of convex pairs of convex bounded subsets of a Hausdorff topological vector space is introduced. Criteria of convexity pair are proved.