## Logic Seminar

Douglas Ulrich
Maryland
Borel Complexity and the Schroder-Bernstein Property
Abstract: Borel Complexity and the Schroder-Bernstein Property
I describe some new techniques for proving non-Borel reducibility results, and give some applications, including: suppose the collection of countable models of a sentence sigma of L_{omega_1 omega} satisfies the Schroder-Bernstein property, that is, if two countable models are bi-embeddable then they are isomorphic. Then, assuming a mild large cardinal, sigma is not Borel complete.
We meet for lunch at noon on the first floor of SEO.
Tuesday October 10, 2017 at 4:00 PM in SEO 427
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