L. Soukup:
On omega^2-saturated families
If there is no inner model with measurable cardinals, then
for each cardinal lambda there is an almost disjoint family
F of countable subsets of lambda such that every subset
of lambda with order type >=omega^2
contains an element of F.
Downloading the paper
appeared in Comm. Math. Univ. Carol., 28 (1987), 629--633.