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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

2003 • Question 1

Question

Math 6210 • Real Analysis 2003 • Question 1

Prove that a non-decreasing function from \(\mathbb R\) to \(\mathbb R\) is measurable with respect to the Borel \(\sigma \)-algebra.

Raw LaTeX

Prove that a non-decreasing function from \(\mathbb R\) to
\(\mathbb R\) is measurable with respect to the Borel \(\sigma\)-algebra.

Topic Tags

Borel Sets and Sigma-Algebras Measurable Functions