# Sh:1080

- Komjáth, P., & Shelah, S. (2017).
*Consistently \mathcal P(\omega_1) is the union of less than 2^{\aleph_1} strongly independent families*. Israel J. Math.,**218**(1), 165–173. DOI: 10.1007/s11856-017-1463-5 MR: 3625129 -
Abstract:

It is consistent that \mathcal{P}(\omega_1) is the union of less than 2^{\aleph_1} parts such that if A_0,\dots,A_{n-1},B_0,\dots,B_{m-1} are distinct elements of the same part then |A_0\cap\cdots \cap A_{n-1}\cap (\omega_1-B_0)\cap\cdots \cap(\omega_1-B_{m-1})|=\aleph_1. - published version (9p)

Bib entry

@article{Sh:1080, author = {Komj{\'a}th, P{\'e}ter and Shelah, Saharon}, title = {{Consistently $\mathcal P(\omega_1)$ is the union of less than $2^{\aleph_1}$ strongly independent families}}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {218}, number = {1}, year = {2017}, pages = {165--173}, issn = {0021-2172}, mrnumber = {3625129}, mrclass = {03E35 (03E55)}, doi = {10.1007/s11856-017-1463-5} }