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9

Part of 1964 Miklós Schweitzer

Problems(1)

Miklos Schweitzer 1964_9

Source:

9/20/2008
Let E E be the set of all real functions on I\equal{}[0,1]. Prove that one cannot define a topology on E E in which fn→f f_n\rightarrow f holds if and only if fn f_n converges to f f almost everywhere.
functiontopologyreal analysisreal analysis unsolved