The Banach-tarski Paradox
نویسنده
چکیده
Stefan Banach and Alfred Tarski introduced the phrase: “a pea can be chopped up and reassembled into the Sun,” a seemingly impossible concept. Using this theorem as motivation, this paper will explore the existence of non-measurable sets and paradoxical decompositions as well as provide a sketch of the proof of the paradox.
منابع مشابه
The Banach-tarski Paradox
This paper is an exposition of the Banach-Tarski paradox. We will first simplify the theorem by duplicating almost every point in the ball, and then extend our proof to the whole ball.
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