Ioannis Souldatos: A survey on the effect of set-theory on models of L_{omega_1,omega}-sentences

Thursday, November 17, 2016, from 4 to 5:30pm
East Hall, room 3096

Speaker: Ioannis Souldatos (University of Detroit Mercy)

Title: A survey on the effect of set-theory on models of L_{omega_1,omega}-sentences

Abstract:

The model-existence spectrum of an L_{omega_1,omega}-sentence phi is the set of all cardinals on which phi has a model.
During the talk we will survey known theorems about the model-existence spectra of L_{omega_1,omega}-sentences, focusing on how the underlying set-theory affects these spectra.

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