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Automorphism–invariant measures on ℵ0-categorical structures without the independence property

Published online by Cambridge University Press:  12 March 2014

Douglas E. Ensley
Douglas E. Ensley*
Affiliation:
Department of Mathematics and Computer Science, Shippensburg University, Shippensburg, PA 17257, USA, E-mail: deensl@ark.ship.edu
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Abstract

We address the classification of the possible finitely-additive probability measures on the Boolean algebra of definable subsets of M which are invariant under the natural action of Aut(M). This pursuit requires a generalization of Shelah's forking formulas [8] to “essentially measure zero” sets and an application of Myer's “rank diagram” [5] of the Boolean algebra under consideration. The classification is completed for a large class of ℵ0-categorical structures without the independence property including those which are stable.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 61 , Issue 2 , June 1996 , pp. 640 - 652
Copyright
Copyright © Association for Symbolic Logic 1996

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References

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