Logic & Set Theory seminar: The spectrum of κ-maximal cofinitary groups

19 May 2015, 2.30 PM - 19 May 2015, 3.30 PM

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.

Contact information

Organiser: Andrew Brooke-Taylor

Edit this page