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)

@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}
}