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Singularities of sets of constant width

✍ Scribed by K. J. Falconer

Publisher
Springer
Year
1981
Tongue
English
Weight
319 KB
Volume
11
Category
Article
ISSN
0046-5755

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πŸ“œ SIMILAR VOLUMES

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In this paper we prove the following result: THEOREM. Let K be a planar set of constant width 6; if {Bt, B2, B3} is a cover of K, in which the diameters d (Bi), where i = 1, 2, 3, are smaller than ~, then d(nl The proof is an immediate consequence of the three lemmas of Section 2. 1. NOTATION

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## Abstract We give a number of characterizations of bodies of constant width in arbitrary dimension. As an application, we describe a way to construct a body of constant width in dimension __n__, one of its (__n__ – 1)‐dimensional projection being given. We give a number of examples, like a four‐d