Forking in simple theories and CM-triviality
نویسندگان
چکیده
Aquesta tesi doctoral està subjecta a la llicència Reconeixement-NoComercial – SenseObraDerivada 3.0. Espanya de Creative Commons. Esta tesis doctoral está sujeta a la licencia Reconocimiento-NoComercial – SinObraDerivada 3.0. España de Creative Commons. Als meus pares i al meu germà, per haver estat sempre al meu costat A la Mar, per estar-hi des que ens vem trobar
منابع مشابه
F eb 2 00 7 Forking in the free group
We study model-theoretic and stability-theoretic properties of the nonabelian free group in the light of Sela’s recent result [15] on stability and results announced by Bestvina and Feighn on “negligible subsets” of free groups. We point out analogies between the free group and socalled bad groups of finite Morley rank, and prove “non CM -triviality”
متن کاملForking in the free group
We study model-theoretic and stability-theoretic properties of the nonabelian free group in the light of Sela’s recent result [15] on stability and results announced by Bestvina and Feighn on “negligible subsets” of free groups. We point out analogies between the free group and socalled bad groups of finite Morley rank, and prove “non CM -triviality” of the free group.
متن کاملGeometry of forking in simple theories
We investigate the geometry of forking for Urank 2 elements in supersimple ω-categorical theories and prove stable forking and some structural properties for such elements. We extend this analysis to the case of U-rank 3
متن کاملForking and dividing in NTP₂ theories
We prove that in theories without the tree property of the second kind (which include dependent and simple theories) forking and dividing over models are the same, and in fact over any extension base. As an application we show that dependence is equivalent to bounded forking assuming NTP2.
متن کاملAnother Look at Stable Forking in 1-based Supersimple Theories
We give two alternative proofs that 1-based theories of finite SU-rank have stable forking, neither of which seems to require the full power of elimination of hyperimaginaries. We also show some miscellaneous results related to stable forking in simple theories.
متن کامل