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Direct Applications of Borsuk–Ulam

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Part of the Universitext book series (UTX)

The informal statement that gave the ham sandwich theorem its name is this: For every sandwich made of ham, cheese, and bread, there is a planar cut that simultaneously halves the ham, the cheese, and the bread. The mathematical ham sandwich theorem says that any d (finite) mass distributions in ℝ d can be simultaneously bisected by a hyperplane: This geometric result has many interesting consequences.

Keywords

Chromatic Number Moment Curve Proper Coloring Open Hemisphere Ulam Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

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