What is a Guessing Model?

Zoom Meeting https://pitt.zoom.us/j/91215323315

Meeting ID: 912 1532 3315

Wednesday, November 18, 2020 - 16:30


Speaker Information
Dr. Rahman Mohammadpour
Postdoctoral Researcher
Vienna University of Tehnology

Abstract or Additional Information

In this talk I aim to introduce the notion of a guessing model (due to Viale and Weiss), and discuss the effect of its existence on combinatorics at uncountable cardinals. The set-theoretical technicality will be kept minimum.  To have an idea about the main concept, a guessing model is an elementary submodel resembling some initial segment of the universe of sets. If they are small, they were ‘‘morally’’ an initial segment of the universe in their previous life! And if they are too big, then...