Abstract
We prove that a sequence of sets containing representatives of cupping partners for every nonzero \({\Delta^0_2}\) enumeration degree cannot have a \({\Delta^0_2}\) enumeration. We also prove that no subclass of the \({\Sigma^0_2}\) enumeration degrees containing the nonzero 3-c.e. enumeration degrees can be cupped to \({\mathbf{0}_e'}\) by a single incomplete \({\Sigma^0_2}\) enumeration degree.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.