# An Example of a Measurable Set that is not Borel

Title

An Example of a Measurable Set that is not Borel

Author Contributor Faculty Department Date2016-07-01

AbstractThis thesis gives a more detailed version of a proof from Daniel Mauldin that the set of continuous functions defined on the interval $[0,1]$ that are nowhere differentiable is not Borel. On the other hand, it is shown that the same set is Lebesgue Measurable. The theorems and definitions that are necessary in the proofs are given in the Glossary, where a knowledge of the course Real Analysis is expected. The proofs of most of these theorems are given in the Appendix

To reference this document use: Part of collectionStudent theses

Document typebachelor thesis

Rights(c) 2016 Vos, G.

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