# Embeddings among the $\omega_1$-like models of set theory, part I

Set theory seminarFriday, October 4, 201310:00 amGC 6417

# Embeddings among the $\omega_1$-like models of set theory, part I

### The City University of New York

An $\omega_1$-like model of set theory is an uncountable model, all of whose initial segments are countable. The speaker will present two $\omega_1$-like models of set theory, constructed using $\Diamond$, which are incomparable with respect to embeddability: neither is isomorphic to a submodel of the other. Under a suitable large cardinal assumption, there are such models that are well-founded.

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.

Posted by on September 28th, 2013
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