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

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G. A. Edgar

Posts: 2,505
Registered: 12/8/04
Re: Lebesgue measure on an uncountable product of intervals
Posted: Apr 27, 2013 8:18 AM
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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 sigma-algebra for the product.
(It is not the same as a Borel set for the product topology.)

G. A. Edgar http://www.math.ohio-state.edu/~edgar/

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