Set theory seminarFriday, November 20, 201510:00 amGC 3212

# Subcomplete forcings

## Kaethe Minden

### The CUNY Graduate Center

Subcomplete forcings are a class of forcings introduced by Jensen. These forcings do not add reals but may change cofinalities to $\omega$, unlike proper forcings. Examples of subcomplete forcings include Namba forcing, Prikry forcing, and any countably closed forcing. In this talk I will discuss some results concerning subcomplete forcing and the preservation of various properties of trees.

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

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on November 15th, 2015