olymmath

SCHWEITZER 1998 Problem 1

    Can there be a continuum set of continuum sets such that (i) the intersection of any two is finite, and (ii) every set that intersects all sets intersects any in an infinite set? note: a continuum set is a set that can be put into a 1-to-1 bijection with the reals.

    Dataset text AI-MO AoPS. Quoted with source.

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