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Possible Duplicate:
Arcwise connected part of $\mathbb R^2$

As the topic,if $A\subset\mathbb{R^2}$ is countable, does $\mathbb{R^2}\setminus A$ path connected??? I know the answer is it is path connected but not sure how to prove it.

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    @BrianM.Scott Gosh, I just duplicated your answer...2012-11-19
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    @did: Well, it *is* the natural thing to do, I think.2012-11-19

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