Kurt Gödel Research Center

2020 seminar talk: On Continuous Tree-Like Scales and related properties of Internally Approachable structures

Talk held by Omer Ben-Neria (Hebrew University of Jerusalem, Israel) at the KGRC seminar on 2020-11-05.

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.

Time and Place

Talk at 3:00pm via Zoom