Open and solved problems concerning polarized partition relations
Fundamenta Mathematicae (2016)
- Volume: 234, Issue: 1, page 1-14
- ISSN: 0016-2736
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topShimon Garti, and Saharon Shelah. "Open and solved problems concerning polarized partition relations." Fundamenta Mathematicae 234.1 (2016): 1-14. <http://eudml.org/doc/286690>.
@article{ShimonGarti2016,
abstract = {We list some open problems concerning the polarized partition relation. We solve a couple of them, by showing that for every limit non-inaccessible ordinal α there exists a forcing notion ℙ such that the strong polarized relation $\binom\{ℵ_\{α+1\}\}\{ℵ_\{α\}\} → \binom\{ℵ_\{α+1\}\}\{ℵ_\{α\}\}^\{1,1\}_\{2\}$ holds in $V^\{ℙ\}$.},
author = {Shimon Garti, Saharon Shelah},
journal = {Fundamenta Mathematicae},
keywords = {partition calculus; cardinal characteristics; pcf theory},
language = {eng},
number = {1},
pages = {1-14},
title = {Open and solved problems concerning polarized partition relations},
url = {http://eudml.org/doc/286690},
volume = {234},
year = {2016},
}
TY - JOUR
AU - Shimon Garti
AU - Saharon Shelah
TI - Open and solved problems concerning polarized partition relations
JO - Fundamenta Mathematicae
PY - 2016
VL - 234
IS - 1
SP - 1
EP - 14
AB - We list some open problems concerning the polarized partition relation. We solve a couple of them, by showing that for every limit non-inaccessible ordinal α there exists a forcing notion ℙ such that the strong polarized relation $\binom{ℵ_{α+1}}{ℵ_{α}} → \binom{ℵ_{α+1}}{ℵ_{α}}^{1,1}_{2}$ holds in $V^{ℙ}$.
LA - eng
KW - partition calculus; cardinal characteristics; pcf theory
UR - http://eudml.org/doc/286690
ER -
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