/ / / / / /

上一篇 下一篇 同標題 發表文章 文章列表

作者  yu0818 (yu818) 站內  97RA_I
標題  CH2.Exercise 13
時間  2008/12/09 Tue 19:30:28

962201019

Show that A and B are measurable sets in R^2 ,

but A + B is not measurable in R^2

pf:

Let A ={0} ×[0,1] and B = N ×{0},

where N is the non-measurable set in [0,1] constructed in chap 1

Then m*(A) = m*(B) = 0

=> A and B are measurable sets in R^2

But A + B = N ×[0,1] is not measurable in R^2


--
發信站 [中央數學  織夢天堂 bbs.math.ncu.edu.tw]
  •FROM [yu0818 從 63-228.dorm.ncu.edu.tw 發表]

上一篇 下一篇 同標題 發表文章 文章列表