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

Seminar
Speaker
Omer Ben-Neria (HUJI)
Date
28/10/2020 - 16:00 - 14:00Add to Calendar 2020-10-28 14:00:00 2020-10-28 16:00:00 On Continuous Tree-Like Scales and related properties of Internally Approachable structures 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.   Link to recording. zoom אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
zoom
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.
 
Link to recording.

Last Updated Date : 23/11/2020