Partition ideals below
P. Dodos; J. Lopez-Abad; S. Todorcevic
Fundamenta Mathematicae (2012)
- Volume: 217, Issue: 1, page 21-34
- ISSN: 0016-2736
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topP. Dodos, J. Lopez-Abad, and S. Todorcevic. "Partition ideals below $ℵ_{ω}$." Fundamenta Mathematicae 217.1 (2012): 21-34. <http://eudml.org/doc/283009>.
@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  - 
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