Cardinality of the Set of Bounded Subsets of a Cardinal

Cardinality of the Set of Bounded Subsets of a Cardinal

Explore the intricacies of cardinal arithmetic in this 43-minute conference talk delivered by William Chan at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI). Delve into the cardinality of the set of bounded subsets of a cardinal below Theta within the context of Woodin's AD+ theory. Discover how this concept applies to the study of cardinal exponentiation below Theta in AD+ theory. The presentation, part of the Workshop on "Determinacy, Inner Models and Forcing Axioms," offers a deep dive into advanced set theory and its implications for understanding cardinal arithmetic in specific mathematical frameworks.