Measure Theory unit1

Measure Theory unit1

Assessment

Assessment

Created by

Padmavathi I

Mathematics

University

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30 questions

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1.

Multiple Choice

45 sec

1 pt

m×(A)=inf(l(In): AIn) m^{\times}\left(A\right)=\inf\left(\sum_{ }^{ }l\left(I_n\right):\ A\subseteq\cup I_n\right)\ is definition of

measure

outer measure

signed measure

none of theses

2.

Multiple Select

45 sec

1 pt

If μ(ϕ) =0\mu\left(\phi\right)\ =0  then  μ\mu  can be____


(multi-answer question)

measure

outer measure

signed measure

none of these

3.

Multiple Choice

45 sec

1 pt

If A and B are two sets with m*(A)=0 then

m*(AUB)=m*(B)

m*(A) \le  m*(B)

m*(A)= m*(B)

m*(B) \le  m*(A)

4.

Multiple Choice

45 sec

1 pt

If A and B are two sets, with A \subseteq  B, then

m*(AUB) =m*(B)

m*(A) \le  m*(B)

m*(A)= m*(B)

m*(B) \le  m*(A)

5.

Multiple Choice

45 sec

1 pt

If A is countable set then

m*(A)=0

m*(A) \ge 0

m*(A) \le 0

m*(A)= \infty

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