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2013 Rank Functions and Partial Stability Spectra for Tame Abstract Elementary Classes
Michael J. Lieberman
Notre Dame J. Formal Logic 54(2): 153-166 (2013). DOI: 10.1215/00294527-1960452

Abstract

We introduce a family of rank functions and related notions of total transcendence for Galois types in abstract elementary classes. We focus, in particular, on abstract elementary classes satisfying the condition known as tameness, where the connections between stability and total transcendence are most evident. As a byproduct, we obtain a partial upward stability transfer result for tame abstract elementary classes stable in a cardinal λ satisfying λ0>λ, a substantial generalization of a result of Baldwin, Kueker, and VanDieren.

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Michael J. Lieberman. "Rank Functions and Partial Stability Spectra for Tame Abstract Elementary Classes." Notre Dame J. Formal Logic 54 (2) 153 - 166, 2013. https://doi.org/10.1215/00294527-1960452

Information

Published: 2013
First available in Project Euclid: 21 February 2013

zbMATH: 1285.03034
MathSciNet: MR3028793
Digital Object Identifier: 10.1215/00294527-1960452

Subjects:
Primary: 03C45, 03C48, 03C95

Rights: Copyright © 2013 University of Notre Dame

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