Set theory seminarFriday, May 16, 201410:00 amGC6417

# The Laver Preparation

## Alexander Rapp

### The CUNY Graduate Center

I will present the result of Laver demonstrating that the existence of a supercompact cardinal implies the existence of a Laver function, and using this to construct a model with a supercompact cardinal k which remains supercompact in any k-directed-closed forcing extension.

This talk will serve as the speaker's Second Examination for his degree requirements in the Mathematics Ph.D. program of the CUNY Graduate Center.

Alexander Rapp is currently a graduate student in the Ph.D. program at the CUNY Graduate Center, studying set theory under the supervision of Gunter Fuchs.

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on May 12th, 2014