Logic Seminar

Itay Neeman
UCLA
The tree property
Abstract: The tree property at $\kappa$ asserts that every tree of height $\kappa$ with levels of sizes less than $\kappa$ has a cofinal branch. At $\kappa=\aleph_0$ and $\kappa=\aleph_1$ the property and its negation (respectively) are well known classical results. We discuss methods to obtain the property at other cardinals, where it can be viewed as a delicate remnant of large cardinal strength.
Tuesday April 22, 2014 at 4:00 PM in SEO 427
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