### Consistently $\mathcal P (\omega_1)$ is the union of less than $2^{\aleph_1}$ strongly independent families

by Komjath and Shelah. [KoSh:1080]

Israel J Math, 2017

It is consistent that {P}(omega_1) is the union of less
than 2^{aleph_1} parts such that if
A_0, ...,A_{n-1},B_0, ...,B_{m-1} are distinct elements of the
same part then
|A_0 cap ... cap A_{n-1} cap (omega_1-B_0) cap ...
cap (omega_1-B_{m-1})|= aleph_1 .

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