Arithmetical Sacks Forcing

Abstract. We answer a question of Jockusch by constructing a hyperimmunefree minimal degree below a 1-generic one. To do this we introduce a new forcing notion called arithmetical Sacks forcing. Some other applications are presented.

• Type: Journal
• Year: 2006
• Where: AML
• Authors: Rod Downey, Liang Yu
• Keywords: AML 2006, Hyperimmunefree Minimal Degree