Banach-Tarski's theorem
Lecturer: Guillermo Sánchez
Date: 30/11/2016
Time: 17:00
Place: Room 103
Abstract: The Banach-Tarski theorem is one of the most controversial results of mathematics. It claims that you can cut a sphere in a finite number of pieces which can be turned around in order to produce two spheres identical to the original one. In this class we are going to prove this theorem and comment on the apparent paradox.
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Bibliography
- Carlos Ivorra, La paradoja de Banach Tarski
- Vsauce, The Banach-Tarski Paradox
- Alfonso Gracia-Saz, The Banach-Tarski Theorem
- Francisco R. Villatoro, La paradoja de Banach-Tarski y el axioma de elección
- Tom Weston, The Banach-Tarski Paradox
- Terence Tao, The Banach-Tarski Paradox
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