Logic & Set Theory seminar: The spectrum of κ-maximal cofinitary groups
Vera Fischer, Technical University of Vienna
Howard House, 4th floor seminar room
For κ an arbitrary regular uncountable cardinal we define the spectrum of κ-maximal cofinitary groups (abbreviated κ-mcg) as the set of all possible cardinalities of κ-mcg's. Generalizing Blass's result on the spectrum of mad families on ω, we provide sufficient conditions for a closed set of cardinals to be generically realized as the spectrum of κ-mcgs. We will conclude with some current directions of research and open questions.
Organiser: Andrew Brooke-Taylor