BINARY PRIMITIVE HOMOGENEOUS SIMPLE STRUCTURES
نویسندگان
چکیده
منابع مشابه
Binary Simple Homogeneous Structures
We describe all binary simple homogeneous structuresM in terms of ∅de nable equivalence relations on M , which coordinatize M and control dividing, and extension properties that respect these equivalence relations.
متن کاملBinary Primitive Homogeneous One-based Structures
Suppose that M is countable, binary, primitive, homogeneous, simple and 1-based. We prove that the SU-rank of the complete theory of M is 1. It follows that M is a random structure. The conclusion that M is a random structure does not hold if the binarity condition is removed, as witnessed by the generic tetrahedronfree 3-hypergraph. However, to show that the generic tetrahedron-free 3-hypergra...
متن کاملBinary Simple Homogeneous Structures Are Supersimple with Finite Rank
Suppose thatM is an in nite structure with nite relational vocabulary such that every relation symbol has arity at most 2. IfM is simple and homogeneous then its complete theory is supersimple with nite SU-rank which cannot exceed the number of complete 2-types over the empty set.
متن کاملOn Sets with Rank One in Simple Homogeneous Structures
We study de nable sets D of SU-rank 1 inM, whereM is a countable homogeneous and simple structure in a language with nite relational vocabulary. Each such D can be seen as a `canonically embedded structure', which inherits all relations on D which are de nable inM, and has no other de nable relations. Our results imply that if no relation symbol of the language of M has arity higher than 2, the...
متن کاملHomogeneous Structures
A relational first order structure is homogeneous if every isomorphism between finite substructures extends to an automorphism. Familiar examples of such structures include the rational numbers with the usual order relation, the countable random and so called Rado graph, and many others. Countable homogeneous structures arise as Fraı̈ssé limits of amalgamation classes of finite structures, and h...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Journal of Symbolic Logic
سال: 2017
ISSN: 0022-4812,1943-5886
DOI: 10.1017/jsl.2016.51