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Topic:
Lebesgue measure on an uncountable product of intervals
Replies:
4
Last Post:
Apr 27, 2013 8:18 AM




Re: Lebesgue measure on an uncountable product of intervals
Posted:
Apr 27, 2013 8:18 AM


In article <slrnknlart.cmi.hrubin@skew.stat.purdue.edu>, Herman Rubin <hrubin@skew.stat.purdue.edu> wrote:
> I see no problem; product measure, not merely the special > case of Lebesgue, is easily definable. Observe that a Borel > set is defined by a countable number of coordinates,
Here, "Borel set" means a member of the sigmaalgebra for the product. (It is not the same as a Borel set for the product topology.)
 G. A. Edgar http://www.math.ohiostate.edu/~edgar/



