Talk:Continuity set
Add topicLatest comment: 7 years ago by Yecril in topic Discontinuity set
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Discontinuity set
[edit]I removed the material because
- the definition in the source has local scope
- the term "sparse collection" is nonstandard
- the observation applies to arbitrary collections of mutually exclusive events
boundary set
[edit]I am guessing in this article denotes the boundary set, but I do not know for sure. --Drizzd (talk) 07:16, 14 July 2011 (UTC)
- Yes it is. linas (talk) 16:04, 29 July 2012 (UTC)
Counterexample needed
[edit]Article needs counter-example: a Borel set that is not a continuity set... In particular, the article on convergence of measures states that a sequence of measures P_n converges weakly when
- lim P_n(A) = P(A) for all continuity sets A of measure P.
while, removing the word 'continuity' converts the above defintion into strong convergence. linas (talk) 16:15, 29 July 2012 (UTC)