Instability of projection bodies |
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Authors: | Paul R Goodey |
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Institution: | (1) Mathematics Department, University of Oklahoma, 73019 Norman, OK, USA |
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Abstract: | This work is motivated by the stability problem for projection bodies of centrally symmetric convex bodies. The problem asks whether the closeness of two projection bodies implies closeness of the original bodies. Here we will give a negative answer and, in fact, work in a setting rather more general than that of the original problem. |
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