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I have some questions on Papa Rudin:

Question 1:

On page 12 (proof of Theorem 1.9e), why is it that E is measurable?

Question 2:

On page the bottom of page 15 (the proof of Theorem 1.17), why are the φn's Borel functions? Also, the proposition states that f is a measurable function from X to [0,∞ ], but doesn't the definition (at least given in Def 1.3 on p8) require [0, ∞] being a topological space? Then what would be the topology of [0, ∞]?

Thanks, any help is greatly appreciated.

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# Some Questions about Papa Rudin (RCA) Chapter 1

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