@techreport{3c98c54194734ea69281373bd62ff816,

title = "Minimal types in super-dependent theories",

abstract = "We give necessary and sufficient geometric conditions for a theory definable in an o-minimal structure to interpret a real closed field. The proof goes through an analysis of thorn-minimal types in super-rosy dependent theories of finite rank. We prove that such theories are coordinatised by thorn-minimal types and that such a type is unstable if an only if every non-algebraic extension thereof is. We conclude that a type is stable if and only if it admits a coordinatisation in thorn-minimal stable types. We also show that non-trivial thorn-minimal stable types extend stable sets.",

keywords = "Mathematics - Logic, 03C45, 03C64",

author = "Assaf Hasson and Alf Onshuus",

year = "2007",

language = "אנגלית",

series = "Arxiv preprint",

edition = "arXiv:0711.0122 [math.LO]",

type = "WorkingPaper",

}