David Marker : Rigid real closed fields

Posted by James Freitag , part of the Logic Seminar.

At

Sept. 27, 2024, 10 a.m.

In

304 Taft Hall

Abstract

Shelah showed that it is consistent that there are uncountable rigid non-archimedean real closed fields and, later, he and Mekler proved this in ZFC. Answering a question of Enayat, Charlie Steinhorn and I show that there are countable rigid non-archimedean real closed fields by constructing one of transcendence degree two.