The independence property in generalized dense pairs of structures

نویسندگان

  • Alexander Berenstein
  • Alf Dolich
  • Alf Onshuus
چکیده

We provide a general theorem implying that for a (strongly) dependent theory T the theory of su ciently well-behaved pairs of models of T is again (strongly) dependent. We apply the theorem to the case of lovely pairs of thorn-rank one theories as well as to a setting of dense pairs of rst-order topological theories.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Independence of an Equivariant and Invariant‎ Functions in Generalized Normal Family‎

In this paper we explain a necessary and sufficent condition for independence between any arbitrary statistics with sufficient statistics which is also maximum likelihood estimator in a general‎ ‎exponential family with location and scale parameter namely generalized normal distribution‎. ‎At the end‎, ‎it is shown that the converse is true except in the asymptotic cases‎.

متن کامل

Dependent pairs

We prove that certain pairs of ordered structures are dependent. Among these structures are dense and tame pairs of o-minimal structures and further the real field with a multiplicative subgroup with the Mann property.

متن کامل

Structures Having O-minimal Open Core*

The open core of an expansion of a dense linear order is its reduct, in the sense of definability, generated by the collection of all of its open definable sets. In this paper, expansions of dense linear orders that have o-minimal open core are investigated, with emphasis on expansions of densely ordered groups. The first main result establishes conditions under which an expansion of a densely ...

متن کامل

Thorn independence in the field of real numbers with a small multiplicative group

We characterize þ-independence in a variety of structures, focusing on the eld of real numbers expanded by predicate de ning a dense multiplicative subgroup, G, satisfying the Mann property and whose pth powers are of nite index in G. We also show such structures are super-rosy and eliminate imaginaries up to codes for small sets.

متن کامل

Optimally Local Dense Conditions for the Existence of Solutions for Vector Equilibrium Problems

In this paper, by using C-sequentially sign property for bifunctions, we provide sufficient conditions that ensure the existence of solutions of some vector equilibrium problems in Hausdorff topological vector spaces which ordered by a cone. The conditions which we consider are not imposed on the whole domain of the operators involved, but just on a locally segment-dense subset of the domain.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • J. Symb. Log.

دوره 76  شماره 

صفحات  -

تاریخ انتشار 2011