Can the points of discontinuity of a distribution function on $\mathbb R^n$, ($n\gt1$) be uncountable? What about $\left(\{-\infty\}\cup\Bbb R\cup\{+\infty\}\right)^n$?
Discontinuous point of a distribution function on ${\Bbb R}^n$
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real-analysis
measure-theory
probability-theory
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0Are you asking about $\mathbb{R}^n$. And if so, it's not clear to me what you mean by your last sentence? What are you taking the union of, and what is n? – 2012-12-05