30. Let B; be o-fields of subsets of 2 for i = 1,2. Show that the o-field B1 VB2defined to be the smallest o-field containing both B1 and Bz is generatedby sets of the form B1 n B2 where B; e B; for i = 1, 2.

Answered: Image /qna-images/answer/79620545-2af3-455c-bd8b-5655d59e5d53.jpg

Answered: 30. Let B; be o-fields of subsets of 2…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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30. Let B; be o-fields of subsets of 2 for i = 1, 2. Show that the o-field B1 VB2 defined to be the smallest o-field containing both B1 and B2 is generated by sets of the form B1n B2 where Bị e B; for i = 1, 2. %3D