continuum sets
Source: Miklos Schweitzer 1998 q1
September 14, 2021
set theorycardinality
Problem Statement
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.