Partition ideals below $ℵ_{ω}$

• Autorzy: P. Dodos , J. Lopez-Abad , S. Todorcevic
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 03E02: Partition relations
• 03E55: Large cardinals
• 03E35: Consistency and independence results

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2012
• Tom: 217
• Numer: 1
• Strony: 21-34

Daty

wydano

2012

Twórcy

autor

P. Dodos

• Department of Mathematics, University of Athens, Panepistimiopolis 157 84, Athens, Greece

autor

J. Lopez-Abad

• Instituto de Ciencias Matemáticas, CSIC-UAM-UC3M-UCM, C/ Nicolás Cabrera, n° 13-15, Campus Cantoblanco UAM, 28049 Madrid, Spain

autor

S. Todorcevic

• Institut de Mathématiques de Jussieu, CNRS-UMR 7586, 2 place Jussieu - Case 7012, 72521 Paris Cedex 05, France
• Department of Mathematics, University of Toronto, Toronto, Canada, M5S 2E4

Identyfikatory

DOI

10.4064/fm217-1-3