Sh:972
- Rosłanowski, A., & Shelah, S. (2014). Monotone hulls for \mathcal N\cap\mathcal M. Period. Math. Hungar., 69(1), 79–95. arXiv: 1007.5368 DOI: 10.1007/s10998-014-0042-3 MR: 3269711
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Abstract:
Using the method of decisive creatures ([KrSh:872]) we show the consistency of “there is no increasing \omega_2–chain of Borel sets and {\rm non}({\mathcal N})= {\rm non}({\mathcal M})=\omega_2=2^\omega”. Hence, consistently, there are no monotone hulls for the ideal {\mathcal M}\cap {\mathcal N}. This answers Balcerzak and Filipczak. Next we use FS iteration with partial memory to show that there may be monotone Borel hulls for the ideals {\mathcal M}, {\mathcal N} even if they are not generated by towers. - Version 2014-07-17_12 (16p) published version (17p)
Bib entry
@article{Sh:972,
author = {Ros{\l}anowski, Andrzej and Shelah, Saharon},
title = {{Monotone hulls for $\mathcal N\cap\mathcal M$}},
journal = {Period. Math. Hungar.},
fjournal = {Periodica Mathematica Hungarica. Journal of the J\'anos Bolyai Mathematical Society},
volume = {69},
number = {1},
year = {2014},
pages = {79--95},
issn = {0031-5303},
mrnumber = {3269711},
mrclass = {03E17 (03E15 03E35)},
doi = {10.1007/s10998-014-0042-3},
note = {\href{https://arxiv.org/abs/1007.5368}{arXiv: 1007.5368}},
arxiv_number = {1007.5368}
}