Abstract
We investigate higher-dimensional \(\Delta\)-systems indexed by finite sets of ordinals, isolating a particular definition thereof and proving a higher-dimensional version of the classical \(\Delta\)-system lemma. We focus in particular on systems that consist of sets of ordinals, in which case useful order-theoretic uniformities can be ensured. We then present three applications of these higher-dimensional \(\Delta\)-systems to problems involving the interplay between forcing and partition relations on the reals.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
