# Sh:1012

- Garti, S., & Shelah, S. (2016).
*Open and solved problems concerning polarized partition relations*. Fund. Math.,**234**(1), 1–14. arXiv: 1208.6091 DOI: 10.4064/fm763-10-2015 MR: 3509813 -
Abstract:

We list some open problems, concerning the polarized partition relation. We solve a couple of them, by showing that for every singular cardinal \mu there exists a forcing notion \mathbb{P} such that the strong polarized relation {\mu^+ \choose \mu} \rightarrow {\mu^+ \choose \mu}^{1,1}_2 holds in {\rm\bf V}^{\mathbb{P}}. - published version (14p)

Bib entry

@article{Sh:1012, author = {Garti, Shimon and Shelah, Saharon}, title = {{Open and solved problems concerning polarized partition relations}}, journal = {Fund. Math.}, fjournal = {Fundamenta Mathematicae}, volume = {234}, number = {1}, year = {2016}, pages = {1--14}, issn = {0016-2736}, doi = {10.4064/fm763-10-2015}, mrclass = {03E02 (03E35)}, mrnumber = {3509813}, mrreviewer = {Andr\'es Mill\'an}, doi = {10.4064/fm763-10-2015}, note = {\href{https://arxiv.org/abs/1208.6091}{arXiv: 1208.6091}}, arxiv_number = {1208.6091} }