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




Re: Subset of the square
Posted:
Nov 23, 2000 4:04 PM


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.
Hugo



