Set theory seminarFriday, April 26, 201310:00 amGC 5383

# An elementary embeddings characterization of Ramsey cardinals

## Victoria Gitman

### The City University of New York

A cardinal $\kappa$ is Ramsey if every coloring of the finite subsets of $\kappa$ in two colors has a homogeneous set of size $\kappa$. In this talk, I will motivate and prove some basics facts about the little known but very elegant and useful elementary embeddings characterization of Ramsey cardinals.

Victoria Gitman received her Ph.D. in 2007 from the CUNY Graduate Center, as a student of Joel Hamkins, and is presently a visiting scholar at the CUNY Graduate Center. Her research is in Mathematical Logic, in particular in the areas of Set Theory and Models of Peano Arithmetic.

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on April 16th, 2013