Fusion over sublanguages
Hasson, Assaf ; Hils, Martin
J. Symbolic Logic, Tome 71 (2006) no. 1, p. 361-398 / Harvested from Project Euclid
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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.
Publié le : 2006-06-14
Classification:  03C45,  03C35,  03C60 
@article{1146620149,
     author = {Hasson, Assaf and Hils, Martin},
     title = {Fusion over sublanguages},
     journal = {J. Symbolic Logic},
     volume = {71},
     number = {1},
     year = {2006},
     pages = { 361-398},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1146620149}
}

Hasson, Assaf; Hils, Martin. Fusion over sublanguages. J. Symbolic Logic, Tome 71 (2006) no. 1, pp.  361-398. http://gdmltest.u-ga.fr/item/1146620149/