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1. 1. The Banach-Tarski paradox

   Kandidat-uppsats, Göteborgs universitet/Institutionen för matematiska vetenskaper

   Författare :Carl Elofsson; Adrian Nilsson; Nicolas Söderberg; Tim Westlund; [2022-07-04]
   Nyckelord :;

   Sammanfattning : In this thesis we present a proof of the Banach-Tarski paradox, a counterintuitive result that states that any ball in R3 can be cut into finitely many pieces and then be reassembled into two copies of the original ball. Since the result follows from the axiom of choice it is important for assessing its role as an axiom of mathematics. LÄS MER