Spectra of combinatorial families

29.06.2023 11:30 - 13:00

L. Schembecker (U Wien)

I will give a brief overview of theory of the possible spectra of various combinatorial families such as mad families, independent families and other similar families. In particular I will detail the proof that there are no mad families of intermediate size in the Cohen model as an introduction to isomorphism-of-names arguments. Finally, I will sketch recent work of how to realise uncountable spectra of a_T, i.e. given an uncountable set C of cardinals (with some necessary extra assumptions) how to construct a model which has partitions of Baire space into compact sets of exactly the sizes prescribed in C.




SR 10, 1. Stock, Koling. 14-16, 1090 Wien