A POLARIZED PARTITION RELATION FOR WEAKLY COMPACT CARDINALS USING ELEMENTARY SUBSTRUCTURES.

We show that if κ isa weakly compact cardinal, then (Multiple line equation(s) cannot be represented in ASCII text) for any ordinals α κ κand μ < κ, and any finite ordinals m and n. This polarized partition relation represents the statement that for any partition κ X κ = ∪ K U ∪ L of κ x κ into m +...

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Bibliographic Details

Published in:	Journal of Symbolic Logic Vol. 71; no. 4; pp. 1342 - 1353
Main Author:	Jones, Albin L.
Format:	Article
Published:	Cambridge University Press Dec2006
Subjects:	Cardinal numbers ASCII (Character set) Transfinite numbers Set theory Character sets (Data processing) Mathematical logic
Online Access:	View this record in EBSCOhost