 Using the continuum hypothesis, there are only formula_40-many countable subsets of formula_33, so by further thinning we may stabilize the kernel.proved the sunflower lemma, stating that if formula_42 and formula_43 are positive integers then a collection of formula_44 sets of cardinality at most formula_43 contains a sunflower with more than formula_42 sets.The sunflower conjecture is one of several variations of the conjecture of that the factor of formula_47 can be replaced by formula_48 for some constant formula_49.