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Fusion over sublanguages
2006
Journal of Symbolic Logic (JSL)
Generalising Hrushovski's fusion technique we construct the free fusion of two strongly minimal theories T 1. T 2 intersecting in a totally categorical sub-theory T 0. We show that if. e.g., T 0 is the theory of infinite vector spaces over a finite field then the fusion theory T ω, exists, is complete and ω-stable of rank ω. We give a detailed geometrical analysis of T ω, proving that if both T 1, T 2 are 1-based then. Tω can be collapsed into a strongly minimal theory, if some additional
doi:10.2178/jsl/1146620149
fatcat:jutbivtmtjhshfseq7ihny3uxa