Quiz on Measure Theory

Outer measure of an interval is

• Length

• Cardinality

• infinity

• zero

The set of all measurable sets is

• a Ring

• σ-ring

• algebra

• σ-algebra

The measurable set which is uncountable and its outer measure is zero

• set of all integers

• set of all Rational Numbers

• Cantor set

• Irrationals

Countable intersection of open sets is

• F_σ set

• G_δ set

• open

• closed

Countable union of closed sets is

• F_σ set

• G_δ set

• open

• closed