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 +...

Descripción completa

Detalles Bibliográficos
Publicado en:Journal of Symbolic Logic Vol. 71; no. 4; pp. 1342 - 1353
Autor principal: Jones, Albin L.
Formato: Artículo
Publicado: Cambridge University Press Dec2006
Materias:
Acceso en línea:Ver este registro en EBSCOhost