Partition ideals below ${\aleph }_{\omega }$

@article{P2012,
abstract = {Motivated by an application to the unconditional basic sequence problem appearing in our previous paper, we introduce analogues of the Laver ideal on ℵ₂ living on index sets of the form $[ℵ_\{k\}]^\{ω\}$ and use this to refine the well-known high-dimensional polarized partition relation for $ℵ_\{ω\}$ of Shelah.},
author = {P. Dodos, J. Lopez-Abad, S. Todorcevic},
journal = {Fundamenta Mathematicae},
keywords = {forcing; polarized Ramsey property; strongly compact cardinal},
language = {eng},
number = {1},
pages = {21-34},
title = {Partition ideals below $ℵ_\{ω\}$},
url = {http://eudml.org/doc/283009},
volume = {217},
year = {2012},
}

TY - JOUR
AU - P. Dodos
AU - J. Lopez-Abad
AU - S. Todorcevic
TI - Partition ideals below $ℵ_{ω}$
JO - Fundamenta Mathematicae
PY - 2012
VL - 217
IS - 1
SP - 21
EP - 34
AB - Motivated by an application to the unconditional basic sequence problem appearing in our previous paper, we introduce analogues of the Laver ideal on ℵ₂ living on index sets of the form $[ℵ_{k}]^{ω}$ and use this to refine the well-known high-dimensional polarized partition relation for $ℵ_{ω}$ of Shelah.
LA - eng
KW - forcing; polarized Ramsey property; strongly compact cardinal
UR - http://eudml.org/doc/283009
ER -