The Karp complexity of unstable classes

&
Archive for Mathematical Logic 40 (2):69-88 (2001)
  Copy   BIBTEX

Abstract

A class K of structures is controlled if, for all cardinals λ, the relation of L ∞,λ-equivalence partitions K into a set of equivalence classes (as opposed to a proper class). We prove that the class of doubly transitive linear orders is controlled, while any pseudo-elementary class with the ω-independence property is not controlled

Categories

Keywords

Reprint years

DOI

10.1007/s001530000047

Other Versions

No versions found

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 103,449

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Karp complexity and classes with the independence property.M. C. Laskowski & S. Shelah - 2003 - Annals of Pure and Applied Logic 120 (1-3):263-283.
Building prime models in fully good abstract elementary classes.Sebastien Vasey - 2017 - Mathematical Logic Quarterly 63 (3-4):193-201.
Index sets for some classes of structures.Ekaterina B. Fokina - 2009 - Annals of Pure and Applied Logic 157 (2-3):139-147.
Shelah's Categoricity Conjecture from a Successor for Tame Abstract Elementary Classes.Rami Grossberg & Monica Vandieren - 2006 - Journal of Symbolic Logic 71 (2):553 - 568.
Labelling classes by sets.M. Victoria Marshall & M. Gloria Schwarze - 2005 - Archive for Mathematical Logic 44 (2):219-226.
Stationary sets and infinitary logic.Saharon Shelah & Jouko Vaananen - 2000 - Journal of Symbolic Logic 65 (3):1311-1320.
Abstract elementary classes and infinitary logics.David W. Kueker - 2008 - Annals of Pure and Applied Logic 156 (2):274-286.
On the expressibility hierarchy of Magidor-Malitz quantifiers.Matatyahu Rubin & Saharon Shelah - 1983 - Journal of Symbolic Logic 48 (3):542-557.
Quasi-modal equivalence of canonical structures.Robert Goldblatt - 2001 - Journal of Symbolic Logic 66 (2):497-508.
The {L}aczkovich—{K}omjáth property for coanalytic equivalence relations.Su Gao, Steve Jackson & Vincent Kieftenbeld - 2010 - Journal of Symbolic Logic 75 (3):1091-1101.

Analytics

Added to PP
2013-11-23

Downloads
50 (#457,975)

6 months
8 (#390,329)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Karp complexity and classes with the independence property.M. C. Laskowski & S. Shelah - 2003 - Annals of Pure and Applied Logic 120 (1-3):263-283.

Add more citations

References found in this work

Model theory.Wilfrid Hodges - 2008 - Stanford Encyclopedia of Philosophy.
Models without indiscernibles.Fred G. Abramson & Leo A. Harrington - 1978 - Journal of Symbolic Logic 43 (3):572-600.

Add more references