Leon Pernak: Introduction to hyperbolic towers and generalized Fraïssé limits II

Thursday, 27.01.2022 11:00 im Raum SR 1D und Zoom

Mathematik und Informatik

We will study a generalized version of what is known as Fraïssé's method in model theory to elementary embeddings. The method allows us to obtain for certain classes of structures a limit structure which is universal (i.e. all members of the class embed elementarily in the limit), saturated and homogeneous. A quick discussion of theorems solving Tarski's problem together with the preparations in the previous talk will then allow us to prove that groups elementarily equivalent to a fixed torsion-free hyperbolic group form such a strong elementary Fraïssé class, and consequently prove the existence of a universal, saturated and homogenous elementary free group.

Angelegt am Tuesday, 18.01.2022 09:36 von pfeifer
Geändert am Tuesday, 18.01.2022 13:14 von pfeifer
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