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Topic: Subset of the square
Replies: 9   Last Post: Nov 25, 2000 12:55 PM

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Hugo van der Sanden

Posts: 234
Registered: 12/8/04
Re: Subset of the square
Posted: Nov 23, 2000 4:04 PM
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Joseph levine wrote:
> Does there exist a subset of the unit square such that all horizontal
> lines intersect the set in countably many points but all vertical
> lines intersect the set in uncountably many points?

((x, y): x rational, 0 < x,y < 1) would seem to be a trivial solution.


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