Interactive Real Analysis - part of MathCS.org

Next | Previous | Glossary | Map | Discussion

Let f be a function from E R into R { -, } . The function f is called (Lebesgue) measurable if

• the domain E of the function is a measurable set
• for every real number a the set f ^-1 (-, a) is a measurable set

Next | Previous | Glossary | Map | Discussion