3 problems

Three-fold cross-intersection product-measure conjecture. If $\mathcal A_1,\mathcal A_2,\mathcal A_3$ are 3-cross intersecting, then

Conjecture on optimal stability constants. There exists a constant $C_p'$ such that the inequality in case (ii) of the theorem can be replaced by

Refinement of the biased $r$-wise intersection threshold conjecture. The condition