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Preprint Number 1019

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1019. Omer Mermelstein
Reduction relations between non-collapsed ab initio Hrushovski constructions of varying degrees of symmetry

Submission date: 16 March 2016.


Denote Hrushovski's non-collapsed ab initio construction for an n-ary relation by M and the analogous construction for a symmetric n-ary relation by M^{\sim}. We show that M is isomorphic to a proper reduct of M^{\sim} and vice versa, and that the combinatorial geometries associated with both structures are isomorphic.

Mathematics Subject Classification: 03C13, 03C45, 03C30

Keywords and phrases:

Full text arXiv 1603.05170: pdf, ps.

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