Set Theory pp 313-319 | Cite as

Brouwer’s Theorem and Sierpinski’s Theorem

  • Abhijit DasguptaEmail author


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.

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of Detroit MercyDetroitUSA

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