Sets of Multiples (Cambridge Tracts in Mathematics)

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Many of these theorems are of practical value to modern physics; however he also proved the paradoxical Banach-Tarski Theorem, which demonstrates a sphere being rearranged into two spheres of the same original size. (Banach's proof uses the Axiom of Choice and is sometimes cited as evidence that that Axiom is false.) The wide range of Banach's work is indicated by the Banach-Mazur results in game theory (which also challenge the axiom of choice).

Pages: 284

Publisher: Cambridge University Press; 1 edition (October 28, 1996)

ISBN: 052140424X

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