Displaying similar documents to “The compactum of a semi-simple commutative Banach algebra.”

Infinite-dimensional sets of constant width and their applications.

Angel Rodríguez Palacios (1990)

Extracta Mathematicae

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Sets of constant width appear as a curiosity in the context of finite-dimensional Euclidean spaces. These sets are convex bodies of such an space with the property that the distance between any two distinct parallel supporting hyperplanes is constant. The easiest example of a set of constant width which is not a ball is the so called Reuleaux triangle in the Euclidean plane. This is the intersection of three closed discs of radius r, whose centers are the vertices of an equilateral triangle...