The equality $\mathfrakp=\mathfrakt$ and the generalized characteristics

04.04.2019 15:00 - 16:30

D. C. Montoya (U Wien)

Marriallis and Shelah solved in the positive the longstanding problem of whether the two cardinal invariants \(\mathfrakp\) (the pseudointersection number) and \(\mathfrakt\) (the tower number) are equal. In this talk, I will review some essential points in their proof in order to motivate the study of the analogous question for the generalized characteristics \(\mathfrakp(\kappa)\) and \(\mathfrakt(\kappa)\). I will present some results of Garti regarding this generalization and finally some recent progress (joint work with Fischer, Schilhan, and Soukup) towards answering this question.

Organiser:

KGRC

Location:
SR 101, 2. St., Währinger Str. 25