Hi all, i found this problem in a topology book, but it seems to be of an analysis flavour. I'm stumped.(adsbygoogle = window.adsbygoogle || []).push({});

Show that the collection of all points in R^2 such that at least one of the coordinated is rational is connected.

My gut says that it should be path-connected too (thus connected), but im finding the proof elusive... any thoughts?

cheers

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# Connectedness of coordinates with one rational point

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