Measure, Integration & Real Analysis · Problem 4B.9

Product Measures — Sheldon Axler

Mathematics — Measure Theory · density-arbitrary-value

Problem

Prove that if t∈[0,1]t \in [0,1], then there exists a Borel set E⊆RE \subseteq \mathbf{R} such that the density of EE at 00 is tt.

Related theory

Browse the problem library