Seminar - A fixed point of the structural jump

School of Mathematics and Statistics Research Seminar

Speaker: Dan Turetsky
Time: Wednesday 26th September 2018 at 01:10 PM - 02:00 PM
Location: CO345

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Abstract

The structural jump of a structure is a new structure which encapsulates all the one-quantifier information about the original structure. Montalbán constructed a fixed point for the structural jump, meaning a structure that can always compute a copy of its structural jump. His construction requires a large cardinal axiom; S. Friedman and Welch, and independently Puzarenko, produced constructions in ZFC. I will present my own, simplified construction, also in ZFC.

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