Logic Seminar
Jing Zhang
University of Toronto
Partition relations and ideal hypothesis
Abstract: We will discuss and address some problems concerning a family of weakenings of the usual Ramsey theorem. Instead of asking for a monochromatic complete graph, very roughly speaking, these versions ask for variations of a monochromatic topological copy of the complete graph, i.e. each edge is replaced by a path. This allows the possibility of consistency at small uncountable cardinals or the continuum where the usual Ramsey theorem is inconsistent. We will also say something about motivation and some recent applications. Joint work with Hrusak and Shelah.
Tuesday March 7, 2023 at 4:00 PM in 636 SEO