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Jun
11
asked Continuity of $x^2$ over $\overline{\mathbb{R}}$
Jun
4
comment Correspondence between modes of convergence and metrics
Yes, thanks, I know what you mean. I'm looking for general case then.
Jun
4
comment Correspondence between modes of convergence and metrics
Just a general question, not homework, I'd like to see any relevant answers.
Jun
4
asked Correspondence between modes of convergence and metrics
Jun
3
accepted Uniqueness of convergence in measure
Jun
3
asked Uniqueness of convergence in measure
Jun
2
accepted $f=g\; ; \;\bar{\mu}$-a.e. vs $\mu$-a.e.
Jun
2
accepted Default way of defining measure on subset of measure space
May
31
comment $f=g\; ; \;\bar{\mu}$-a.e. vs $\mu$-a.e.
You're saying that if we use another definition, then the statement is false. My question is whether this alternate definition is ever used in practice? That is, could you point to an theorem where this alternate definition is used, but my given definition wouldn't work?
May
31
asked Default way of defining measure on subset of measure space
May
31
comment $f=g\; ; \;\bar{\mu}$-a.e. vs $\mu$-a.e.
Could you give an example of where it's needed to use the $\mu(f \ne g) = 0$ definition? Obviously it's not useful for integration theory (what I'm studying), but I'd be interested in knowing where it's useful.
May
31
revised $f=g\; ; \;\bar{\mu}$-a.e. vs $\mu$-a.e.
added 193 characters in body
May
31
asked $f=g\; ; \;\bar{\mu}$-a.e. vs $\mu$-a.e.