On Continuous Tree-Like Scales and related properties of Internally Approachable structures

05.11.2020 15:00 - 17:00

Omer Ben-Neria (Hebrew University of Jerusalem, Israel)

Abstract:
In his PhD thesis, Luis Pereira isolated and developed several principles of singular cardinals that emerge from Shelah's PCF theory; principles which involve properties of scales, such as the inexistence of continuous Tree-Like scales, and properties of internally approachable structures such as the Approachable Free Subset Property.

In the talk, we will discuss these principles and their relations, and present new results from a joint work with Dominik Adolf concerning their consistency and consistency strength.

Organiser:

KGRC

Location:
online meeting via Zoom