2 research outputs found
An Easton like theorem in the presence of Shelah Cardinals
We show that Shelah cardinals are preserved under the canonical forcing
notion. We also show that if holds and is an
Easton function which satisfies some weak properties, then there exists a
cofinality preserving generic extension of the universe which preserves Shelah
cardinals and satisfies . This
gives a partial answer to a question asked by Cody [1] and independently by
Honzik [5]. We also prove an indestructibility result for Shelah cardinals
On Some Properties of Shelah Cardinals
We present several results concerning Shelah cardinals