O Teorema de Banach- Tarski

We will present in this work the curious and provocative Banach-Tarski Theorem: subsets of the three-dimensional Euclidean space with non-empty interior is part congruent, that is, one subset can be rearranged by isometries of a finite number of parts of the other. The proof, here (a free translation...

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Bibliographic Details
Main Author: Luciano Panek
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2004-11-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7489/4308