A Construction of Bernstein Sets

Authors

  • CALIXTO B. FABRERO, JR.

Keywords:

Bernstein set,, Lebesgue-Stieltjes measure

Abstract

In this paper, we construct an example of a Lebesgue nonmeasurable set of real numbers using their topological properties. Such a construction is due to F. Bernstein.

Published

04/26/2024

How to Cite

B. FABRERO, JR., C. (2024). A Construction of Bernstein Sets. ASIA PACIFIC JOURNAL OF SOCIAL INNOVATION, 14(2), 101–106. Retrieved from https://journals.msuiit.edu.ph/tmf/article/view/493