Timeline for Demystifying the Caratheodory approach to measurability
Current License: CC BY-SA 3.0
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| Dec 29, 2018 at 3:59 | comment | added | MichaelGaudreau | You wrote: "the definition of measurability à la Carathéodory actually comes out characterizing the larger σ-algebra where an outer measure restricts to a measure." By "larger" do you mean "maximal" or "largest"? And do you mean among $\sigma$-algebras that contain the algebra which is used to define the outer measure? I think I can prove your assertion if outer measure is sigma-finite and if the answers to my two questions above are "maximal" and "yes, $\sigma$-algebras that contain the original algebra" But I'm not sure how to do it otherwise. Could you please explain? | |
| Nov 7, 2013 at 16:02 | history | edited | Pietro Majer | CC BY-SA 3.0 |
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| Jul 31, 2010 at 13:00 | history | edited | Anweshi | CC BY-SA 2.5 |
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| Jul 31, 2010 at 12:54 | history | answered | Pietro Majer | CC BY-SA 2.5 |