Geodesic
Dehn e Banach-Tarski: opposti paradossi
Matematica, cultura e società, Série 1, Tome 2 (2017) no. 1, pp. 81-95

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

Banach-Tarski Paradox and Dehn's Theorem are seldom studied in our courses. Both these results are unexpected, hence their comprehension might be useful to comprehend the foundations of mathematics. We will try to give a complete proof of both results, highlighting the connections with other fundamental questions, like: Hilbert's paradox, Cantor-Bernstein theorem, fractal constructions, additive functions. 
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     author = {Paolini, Emanuele},
     title = {Dehn e {Banach-Tarski:} opposti paradossi},
     journal = {Matematica, cultura e societ\`a},
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     volume = {Ser. 1, 2},
     number = {1},
     year = {2017},
     mrnumber = {3676709},
     language = {it},
     url = {http://geodesic.mathdoc.fr/item/RUMI_2017_1_2_1_a5/}
}
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Paolini, Emanuele. Dehn e Banach-Tarski: opposti paradossi. Matematica, cultura e società, Série 1, Tome 2 (2017) no. 1, pp. 81-95. http://geodesic.mathdoc.fr/item/RUMI_2017_1_2_1_a5/