Talk:Littlewood's three principles of real analysis

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Maybe we should use "nearly" instead of "almost" in the statements of the principles. In measure theory, "almost" usually means "except for a zero set", while here it is "except for a ε set", so "nearly" may be a better choice.

I think in Royden's book, he used "nearly" rather than "almost".

74.12.80.128 05:51, 7 April 2007 (UTC)

I believe there is a slightly stronger statement for the first principle. It says:

Any measurable set of finite measure is nearly a FINITE union of open INTERVALS. Yongfei Ci 22:52, 19 August 2007 (UTC)