Proves Tokushige's conjecture on r-wise intersecting families under product measures by replacing p2 < (r-1)/r with the weaker p_{r+1} < (r-1)/r via a random partition method.
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Random partition for Tokushige's $r$-wise intersecting conjecture
Proves Tokushige's conjecture on r-wise intersecting families under product measures by replacing p2 < (r-1)/r with the weaker p_{r+1} < (r-1)/r via a random partition method.