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On local modularity in homogeneous structures

from RESEARCH ARTICLES

Published online by Cambridge University Press:  30 March 2017

Viggo Stoltenberg-Hansen
Affiliation:
Uppsala Universitet, Sweden
Jouko Väänänen
Affiliation:
University of Helsinki
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Logic Colloquium '03 , pp. 118 - 132
Publisher: Cambridge University Press
Print publication year: 2006

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References

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[Hy1] T., Hyttinen, Groups acting on geometries, Logic and algebra, Proceedings of conferences on logic and algebra 2000–2001 (Y., Zhang, editor), ContemporaryMathematics, vol. 302, 2002, pp. 221–233.
[Hy2] T., Hyttinen, Finiteness of U-rank implies simplicity in homogeneous structures,Mathematical Logic Quarterly, vol. 49 (2003), pp. 576–578.Google Scholar
[Hy3] T., Hyttinen, Finitely generated substructures of a homogeneous structure, Mathematical Logic Quarterly, vol. 50 (2004), pp. 77–98.Google Scholar
[HLS] T., Hyttinen, O., Lessmann, and S., Shelah, Interpreting groups and fields in some nonelementary classes, Journal ofMathematical Logic, to appear.
[HS1] T., Hyttinen and S., Shelah, Strong splitting in stable homogeneous models, Annals of Pure and Applied Logic, vol. 103 (2000), pp. 201–228.Google Scholar
[HS2] T., Hyttinen and S., Shelah,Main gap for locally saturated elementary submodels of a homogeneous structure, The Journal of Symbolic Logic, vol. 66 (2001), pp. 1286–1302.Google Scholar
[Pi] A., Pillay, Geometric stability theory, Oxford Logic Guides, vol. 32, Clarendon Press, Oxford, 1996.
[Zi1] B., Zilber, Structural properties of models of1-categorical theories, Logic, methodology and philosophy of science VII, North-Holland, Amsterdam, 1986, pp. 115–128.Google Scholar
[Zi2] B., Zilber, Hereditarily transitive groups and quasi-urbanic structures, AmericanMathematical Society Translations, vol. 195 (1999), pp. 165–186.Google Scholar

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