Advanced Search

Match of the following rules

Add Sub-clause

Add Another Rule

Contains the following math formula (red border means the formula is incomplete)

Formula preview

The search session has expired. Please query the service again.

Currently displaying 1 – 1 of 1

Order by Relevance | Title | Year of publication

The tree property at the double successor of a measurable cardinal κ with $2^{κ}$ large

Sy-David Friedman; Ajdin Halilović — 2013

Fundamenta Mathematicae

Assuming the existence of a λ⁺-hypermeasurable cardinal κ, where λ is the first weakly compact cardinal above κ, we prove that, in some forcing extension, κ is still measurable, κ⁺⁺ has the tree property and $2^{κ} = κ ⁺ ⁺ ⁺$ . If the assumption is strengthened to the existence of a θ -hypermeasurable cardinal (for an arbitrary cardinal θ > λ of cofinality greater than κ) then the proof can be generalized to get $2^{κ} = θ$ .

Page 1

Download Results (CSV)

Advanced Search

Formula preview

Currently displaying 1 – 1 of 1

The tree property at the double successor of a measurable cardinal κ with 2 κ large

The tree property at the double successor of a measurable cardinal κ with $2^{κ}$ large