Duality of convex bodies |
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Authors: | Maria Moszyńska Tomasz Zukowski |
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Institution: | (1) Institute of Mathematics, Warsaw University, ul. Banacha 2, 02-097 Warszawa, Poland |
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Abstract: | The paper presents a category theoretical approach to the notion of duality of convex bodies. Using results of I. Barany (Acta Sci. Math. (Szeged)52 (1988), 93–100), we define and study metric duality , whose advantage is that congruent convex bodies have congruent duals.Dedicated to Professor Helmut Salzmann on the occasion of his 65th birthday |
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Keywords: | 52A20 52A99 18B99 |
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