Re: Nowhere dense sets question..,

In <1118347510.934528.314660@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>, on
06/09/2005
at 01:05 PM, barr@xxxxxxxxx said:

>Second show that the closure of a union is the union of the closures

That isn't true without additional conditions. consider the open balls
about a point with radius 1-2^{-n}, for n=1 to oo. The union is the
open ball with radius one, and its closure is the closed ball with
radius one. However, the union of the closures is just the open ball
with radius 1.

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