Friday, April 8, 201610:00 amSet theory seminarGC 6417

# Core model induction without the axiom of choice

## Dominik Adolf

### University of California, Berkeley

We’ll discuss problems arising when trying to apply CMI in models where even the weakest forms of choice might fail. We’ll show how to deal with these problems in the particular case of a model in which all uncountable cardinals are singular.

Dr. Dominik Adolf is currently a postdoctoral fellow at the University of California, Berkeley. He holds a PhD from the University of Münster, completed under the supervision of Ralf Schindler. His research interests include set theory, inner model theory, precipitous ideals, and stationary sets.