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Sep 13, 2022 at 11:45 comment added Toby Bartels @AsafKaragila : Updated link for Fremlin's book: www1.essex.ac.uk/maths/people/fremlin/mt.htm (I don't know why institutions are so cavalier about breaking these, especially in such trivial ways, but they are).
Nov 8, 2013 at 8:34 vote accept Mikhail Katz
Nov 8, 2013 at 8:34 vote accept Mikhail Katz
Nov 8, 2013 at 8:34
Nov 3, 2013 at 16:48 comment added Asaf Karagila Fremlin's book can be found here: essex.ac.uk/maths/people/fremlin/mt.htm
Nov 3, 2013 at 16:20 comment added Andrés E. Caicedo katz, you may want to take a look at Chapter 56 of Fremlin's treatise on measure theory (56 is in volume 5, part 2), where he describes how one can develop Lebesgue measure without choice. You recover the basic properties as long as you work with "codes" rather than directly with the sets (which would be impossible as mentioned in the answers).
Nov 3, 2013 at 15:42 history edited Mikhail Katz CC BY-SA 3.0
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Nov 3, 2013 at 15:07 answer added Asaf Karagila timeline score: 10
Nov 3, 2013 at 15:07 answer added François G. Dorais timeline score: 11
Nov 3, 2013 at 14:59 history asked Mikhail Katz CC BY-SA 3.0