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.
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.