Geodesic
A Banach Space Whose Elements are Classes of Sets of Constant Width
Canadian mathematical bulletin, Tome 18 (1975) no. 5, pp. 679-689

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DOI

Let K be a compact subset of the real Euclidean space En . We say that K has constant width if the distance between each pair of distinct parallel hyperplanes which support K is constant. The collection of all compact convex subsets of En which have constant width is denoted . 
Lewis, J. E. A Banach Space Whose Elements are Classes of Sets of Constant Width. Canadian mathematical bulletin, Tome 18 (1975) no. 5, pp. 679-689. doi: 10.4153/CMB-1975-119-6
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     author = {Lewis, J. E.},
     title = {A {Banach} {Space} {Whose} {Elements} are {Classes} of {Sets} of {Constant} {Width}},
     journal = {Canadian mathematical bulletin},
     pages = {679--689},
     year = {1975},
     volume = {18},
     number = {5},
     doi = {10.4153/CMB-1975-119-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-119-6/}
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