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June 2006 Fusion over sublanguages
Assaf Hasson, Martin Hils
J. Symbolic Logic 71(2): 361-398 (June 2006). DOI: 10.2178/jsl/1146620149

Abstract

Generalising Hrushovski’s fusion technique we construct the free fusion of two strongly minimal theories T₁,T₂ intersecting in a totally categorical sub-theory T₀. We show that if, e.g., T₀ is the theory of infinite vector spaces over a finite field then the fusion theory Tω exists, is complete and ω-stable of rank ω. We give a detailed geometrical analysis of Tω, proving that if both T₁, T₂ are 1-based then, Tω can be collapsed into a strongly minimal theory, if some additional technical conditions hold—all trivially satisfied if T₀ is the theory of infinite vector spaces over a finite field 𝔽q.

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Assaf Hasson. Martin Hils. "Fusion over sublanguages." J. Symbolic Logic 71 (2) 361 - 398, June 2006. https://doi.org/10.2178/jsl/1146620149

Information

Published: June 2006
First available in Project Euclid: 2 May 2006

zbMATH: 1100.03024
MathSciNet: MR2225884
Digital Object Identifier: 10.2178/jsl/1146620149

Subjects:
Primary: 03C45
Secondary: 03C35, 03C60

Rights: Copyright © 2006 Association for Symbolic Logic

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Vol.71 • No. 2 • June 2006
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