Date: Apr 27, 2013 8:18 AM
Author: G. A. Edgar
Subject: Re: Lebesgue measure on an uncountable product of intervals

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/