Abstract
Advances in Classification Theory for Abstract Elementary Classes
Highlights
In this thesis, we continue the project of classification theory for Abstract Elementary Classes (AECs), especially tame AECs
The main success is showing that Shelah’s Eventual Categoricity Conjecture for Successors follows from the existence of class many strongly compact cardinals. This is the first time the consistency of this conjecture has been proven. We do this by showing that every AEC with LS(K) below a strongly compact cardinal κ is
We introduce a dual property to tameness, called type shortness, and show that it follows from large cardinals
Summary
We continue the project of classification theory for Abstract Elementary Classes (AECs), especially tame AECs. Will Boney, Advances in Classification Theory for Abstract Elementary Classes, Carnegie Mellon University, 2014.
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