2. A set of real numbers is said to be a 6g set provided it is the intersection of a countable collection Gg sets. Shou that for any bounded set E, there is a open set 6 fon which E≤6 and m*(6) = m*(E).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
2
2. A set of real numbers is said to be a 6g set
provided it is the intersection of a countable collection of
open sets. Show that for any bounded set E, there is a
set 6 fon which
E≤ 6 and m*(6) = m*(E).
6s
'S
Transcribed Image Text:2. A set of real numbers is said to be a 6g set provided it is the intersection of a countable collection of open sets. Show that for any bounded set E, there is a set 6 fon which E≤ 6 and m*(6) = m*(E). 6s 'S
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