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GENERALIZED AMALGAMATION AND HOMOGENEITY

Published online by Cambridge University Press:  09 November 2017

DANIEL PALACÍN
DANIEL PALACÍN*
Affiliation:
MATHEMATISCHES INSTITUT UNIVERSITÄT MÜNSTER EINSTEINSTRASSE 62 48149 MÜNSTER, GERMANY E-mail: daniel.palacin@mail.huji.ac.il
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Abstract

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In this paper we shall prove that any 2-transitive finitely homogeneous structure with a supersimple theory satisfying a generalized amalgamation property is a random structure. In particular, this adapts a result of Koponen for binary homogeneous structures to arbitrary ones without binary relations. Furthermore, we point out a relation between generalized amalgamation, triviality and quantifier elimination in simple theories.

Keywords

03C45model theoryrandom structuresimple theoryamalgamation property

Information

Type
Articles
Information
The Journal of Symbolic Logic , Volume 82 , Issue 4 , December 2017, pp. 1409 - 1421
Copyright
Copyright © The Association for Symbolic Logic 2017 

References

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