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

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

Displaying similar documents to “On iterated forcing for successors of regular cardinals”

The consistency of 𝔟 = κ and 𝔰 = κ⁺

Vera Fischer, Juris Steprāns (2008)

Fundamenta Mathematicae

Similarity:

Using finite support iteration of ccc partial orders we provide a model of 𝔟 = κ < 𝔰 = κ⁺ for κ an arbitrary regular, uncountable cardinal.

Hybrid Prikry forcing

Dima Sinapova (2015)

Fundamenta Mathematicae

Similarity:

We present a new forcing notion combining diagonal supercompact Prikry forcing with interleaved extender based forcing. We start with a supercompact cardinal κ. In the final model the cofinality of κ is ω, the singular cardinal hypothesis fails at κ, and GCH holds below κ. Moreover we define a scale at κ which has a stationary set of bad points in the ground model.