THE TREE PROPERTY AND THE FAILURE OF THE SINGULAR CARDINAL HYPOTHESIS AT ℵω2 DIMA SINAPOVA Abstract. We show that given ω many supercompact cardinals, there is a generic extension in which the tree property holds at

Source URL: homepages.math.uic.edu

A MODEL FOR A VERY GOOD SCALE AND A BAD SCALE DIMA SINAPOVA Abstract. Given a supercompact cardinal κ and a regular cardinal λ < κ, we describe a type of forcing such that in the generic extension the cofinality of κ

Source URL: homepages.math.uic.edu

Improving the Consistency Strength of Reflection at ℵω+1 Abstract: Reflection at ℵω+1 , the statement that every stationary subset of ℵω+1 has a reflection point below ℵω+1 , was shown to be consistent given

Source URL: www.math.caltech.edu

• Set theory
• Cardinal number
• Cofinality
• Supercompact cardinal
• Unfoldable cardinal
• Laver function
• Large cardinals
• Mathematical logic
• Mathematics

Microsoft Word - Nam Trang _05.28_.doc

Source URL: www.math.ac.cn

• Aronszajn tree
• Large cardinals
• Cardinal number
• Supercompact cardinal