Abstract

AbstractGeneralising Hrushovski's fusion technique we construct the free fusion of two strongly minimal theoriesT1.T2intersecting in a totally categorical sub-theoryT0. We show that if. e.g.,T0is the theory of infinite vector spaces over a finite field then the fusion theoryTω, exists, is complete and ω-stable of rank ω. We give a detailed geometrical analysis ofTω, proving that if bothT1,T2are 1-based then.Tω can be collapsed into a strongly minimal theory, if some additional technical conditions hold—all trivially satisfied ifT0is the theory of infinite vector spaces over a finite field.

Full Text

Published Version

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.