Abstract
In this chapter we apply the theory of orders from Chap. 8, especially Cantor’s theorem on countable dense orders, to prove two classical theorems: Brouwer’s topological characterization of the Cantor set, and Sierpinski, W.Sierpinski’s topological characterization of the rationals.
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Dasgupta, A. (2014). Brouwer’s Theorem and Sierpinski’s Theorem. In: Set Theory. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4614-8854-5_17
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DOI: https://doi.org/10.1007/978-1-4614-8854-5_17
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Publisher Name: Birkhäuser, New York, NY
Print ISBN: 978-1-4614-8853-8
Online ISBN: 978-1-4614-8854-5
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