Unformatted text preview: ( B ) ) = B Provide counterexamples for each of the false assertions. (1.4) The set R = {−∞}∪ R ∪{∞} is called the extended real line . Write A for the sigmaFeld on R generated by B ( R ) together with the two singleton sets {−∞} and {∞} . (i) Show that A is also generated by E = { [ −∞ , t ] : t ∈ R } . (ii) Show that A equals the Borel sigmaFeld for the metric d ( x , y ) : =  arctan ( x ) − arctan ( y )  on R ....
View
Full
Document
This note was uploaded on 11/21/2009 for the course STAT 330 taught by Professor Davidpollard during the Spring '09 term at Yale.
 Spring '09
 DavidPollard
 Statistics, Probability

Click to edit the document details