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Results tagged with measure-theory
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user 2938
Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.
75
votes
4
answers
23k
views
Non-Borel sets without axiom of choice
This is a simple doubt of mine about the basics of measure theory, which should be easy for the logicians to answer. The example I know of non Borel sets would be a Hamel basis, which needs axiom of …
- 7,442
19
votes
9
answers
6k
views
Haar measure on a quotient, References for
I remember reading Weil's "Basic Number Theory" and giving up after a while. Now I find myself thinking of it (thanks to some comments by Ben Linowitz).
Right from the very beginning, Weil uses the fa …
- 7,442
15
votes
5
answers
17k
views
Proving "almost all matrices over C are diagonalizable".
This is an elementary question, but a little subtle so I hope it is suitable for MO.
Let $T$ be an $n \times n$ square matrix over $\mathbb{C}$.
The characteristic polynomial $T - \lambda I$ splits …
- 7,442
14
votes
Suggestions for a good Measure Theory book
Rudin, Real and Complex Analysis.
Royden, Real Analysis.
Halmos, Measure Theory.
27
votes
What's the use of a complete measure?
Wikipedia gives one instance of a situation in which complete measures are needed, for the purpose of defining measures on product spaces.
I suggest that you look into Rudin's "Real and Complex Analy …
- 7,442