Analog of Borsuk’s problem on Banach spaces
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Abstract
An analog of the well-known problem of partition of figures into parts with less diameter in Banach spaces is studied. The sufficient conditions for the sets to belong to the class of Borsuk’s sets in multidimensional Banach spaces are first obtained.
Keywords
convex set figure with constant width diameter Minkowski functional partition of sets into parts with less diameterPreview
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