An Example of a Measurable Set that is not Borel

Title

An Example of a Measurable Set that is not Borel

 Author

Vos, G.

Contributor

Hart, K.P. (mentor)

Faculty

Electrical Engineering, Mathematics and Computer Science

 Department

Delft Institute of Applied Mathematics

 Date

2016-07-01

 Abstract

This 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

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http://resolver.tudelft.nl/uuid:30d69b56-b846-435e-9d44-6a31b840a836

 Part of collection

Student theses

 Document type

bachelor thesis

 Rights

(c) 2016 Vos, G.
Files
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