Comments on: Corrections and Revisions http://www.ltnielsen.com/1/book/corrections-and-revision Lars Tyge Nielsen's website Wed, 30 Nov 2011 19:12:28 +0000 hourly 1 http://wordpress.org/?v=3.3.1 By: LTN http://www.ltnielsen.com/1/book/corrections-and-revision/comment-page-1#comment-3847 LTN Wed, 30 Nov 2011 19:12:28 +0000 http://www.ltnielsen.com/?p=1#comment-3847 Thanks, Avery. I think your question is whether I assume that the measure space is complete. I do not think I need to assume that. A measure space is complete if every subset of a null set is a null set (which implies, in particular, that every subset of a null set is measurable). But I do not need that. I only need to know that every <em>measurable</em> subset of a null set is a null set. Because a set like A triangle D is known to be measurable. Thanks, Avery.

I think your question is whether I assume that the measure space is complete. I do not think I need to assume that.

A measure space is complete if every subset of a null set is a null set (which implies, in particular, that every subset of a null set is measurable). But I do not need that. I only need to know that every measurable subset of a null set is a null set. Because a set like A triangle D is known to be measurable.

]]> By: LTN http://www.ltnielsen.com/1/book/corrections-and-revision/comment-page-1#comment-3846 LTN Wed, 30 Nov 2011 18:44:24 +0000 http://www.ltnielsen.com/?p=1#comment-3846 Thanks Tahsin. 1. The symbol between the F's signifies neither set product nor measure product. It is the sigma-algebra product symbol as defined on page 321. 2. You are right. I am rewriting the book, and I will include this correction. Thanks Tahsin.

1. The symbol between the F’s signifies neither set product nor measure product. It is the sigma-algebra product symbol as defined on page 321.

2. You are right. I am rewriting the book, and I will include this correction.

]]> By: Avery Fullerton http://www.ltnielsen.com/1/book/corrections-and-revision/comment-page-1#comment-1399 Avery Fullerton Fri, 18 Feb 2011 17:56:31 +0000 http://www.ltnielsen.com/?p=1#comment-1399 on page 422, proof of exercise A.5, aren't you assuming that sigma algebra script F is complete? You show A triangle D is contained in a null set, but A triangle D is not guaranteed null if script F is not complete. on page 422, proof of exercise A.5, aren’t you assuming that sigma algebra script F is complete? You show A triangle D is contained in a null set, but A triangle D is not guaranteed null if script F is not complete.

]]> By: Tahsin Alam http://www.ltnielsen.com/1/book/corrections-and-revision/comment-page-1#comment-236 Tahsin Alam Sun, 25 Apr 2010 14:10:46 +0000 http://www.ltnielsen.com/?p=1#comment-236 1. p326, Prop A.10 The symbol between the F's should be the set product symbol, not the measure product symbol. 2. p328, Section A.3 " ... the expression a<<b means that a_i < b_i for every i=1,...,n" The last character should be k, not n. 1. p326, Prop A.10
The symbol between the F’s should be the set product symbol, not the measure product symbol.

2. p328, Section A.3
” … the expression a<<b means that a_i < b_i for every i=1,…,n"
The last character should be k, not n.

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