Friday, April 15, 201611:00 amnote new timeSet theory seminarGC 6417

# Normal Measures and Tall Cardinals

## Arthur W. Apter

### The City University of New York

I will discuss the number of normal measures a non-$(\kappa + 2)$-strong tall cardinal $\kappa$ can carry, paying particular attention to the cases where $\kappa$ is either the least measurable cardinal or the least measurable limit of strong cardinals. This is joint work with James Cummings.

Distinguished professor Arthur W. Apter received his B.S. and Ph.D. degrees, both in mathematics, from MIT in 1975 and 1978, respectively. He is a mathematical logician, with a specialization in set theory, specifically large cardinals, forcing, and indestructibility, and he maintains a burgeoning interest in inner model theory, as well. Professor Apter has published well over 100 research articles.