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Stable structures with few substructures

Published online by Cambridge University Press:  12 March 2014

Michael C. Laskowski  and
Laura L. Mayer
Michael C. Laskowski
Affiliation:
Department of Mathematics, University of Maryland, College Park, MD 20742, USA, E-mail: mcl@helen.umd.edu
Laura L. Mayer
Affiliation:
Department of Mathematical and Computer Sciences, Loyola University Chicago, Chicago, IL 60626, USA, E-mail: Um@math.luc.edu
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Abstract

A countable, atomically stable structure in a finite, relational language has fewer than 2ω non-isomorphic substructures if and only if is cellular. An example shows that the finiteness of the language is necessary.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 61 , Issue 3 , September 1996 , pp. 985 - 1005
Copyright
Copyright © Association for Symbolic Logic 1996

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References

REFERENCES

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