Dear all,

The seminar meets on Wednesday January 23rd at 11:00 in the Institute of

Mathematics CAS, Zitna 25, seminar room, 3rd floor, front building.

Program: Kaethe Minden — Split Principles and Splitting Families

The original split principle is an equivalent formulation of a cardinal

failing to satisfy the combinatorial essence of weak compactness. The

notion was then expanded by Gunter Fuchs and me to characterize the

negation of other large cardinal properties. Split principles give rise

to seemingly new large cardinals, and some new ideals, for example a

normal ideal on $\mathcal P_\kappa \lambda$ in the case of

$\lambda$-Shelahness. In this talk I introduce split principles and

connect them to certain new notions of splitting numbers being large.

Best,

David