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- W2017206834 abstract "It is well known that in $$n$$ -dimensional Euclidean space ( $$nge 2$$ ) the classes of (diametrically) complete sets and of bodies of constant width coincide. Due to this, they both form a proper subfamily of the class of reduced bodies. For $$n$$ -dimensional Minkowski spaces, this coincidence is no longer true if $$nge 3$$ . Thus, the question occurs whether for $$nge 3$$ any complete set is reduced. Answering this in the negative, we construct $$(2^{k}-1)$$ -dimensional ( $$kge 2$$ ) complete sets which are not reduced." @default.
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- W2017206834 date "2015-04-29" @default.
- W2017206834 modified "2023-10-07" @default.
- W2017206834 title "Complete sets need not be reduced in Minkowski spaces" @default.
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- W2017206834 doi "https://doi.org/10.1007/s13366-015-0249-3" @default.
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