A model-theoretic Baire category theorem for simple theories and its applications

نویسندگان

چکیده

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A model theoretic Baire category theorem for simple theories and its applications

We prove a model theoretic Baire category theorem for τ̃ f low-sets in a countable simple theory in which the extension property is firstorder and show some of its applications. We also prove a trichotomy for minimal types in countable nfcp theories: either every type that is internal in a minimal type is essentially-1-based by means of the forking topology or T interprets a strongly-minimal for...

متن کامل

Baire category theorem and its consequences

In this notes we talk about the Baire category theorem and its consequences: the BanachSteinhaus theorem, the open mapping theorem and the closed graph theorem.

متن کامل

On the Baire Category Theorem

Let T be a topological structure and let A be a subset of the carrier of T . Then IntA is a subset of T . Let T be a topological structure and let P be a subset of the carrier of T . Let us observe that P is closed if and only if: (Def. 1) −P is open. Let T be a non empty topological space and let F be a family of subsets of T . We say that F is dense if and only if: (Def. 2) For every subset X...

متن کامل

An analogue of the Baire category theorem

Every definably complete expansion of an ordered field satisfies an analogue of the Baire Category Theorem.

متن کامل

The Bang-Bang theorem via Baire category. A Dual Approach

The paper develops a new approach to the classical bang-bang theorem in linear control theory, based on Baire category. Among all controls which steer the system from the origin to a given point x̄, we consider those which minimize an auxiliary linear functional φ. For all φ in a residual set, we show that the minimizing control is unique and takes values within a set of extreme points.

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

ژورنال

عنوان ژورنال: Fundamenta Mathematicae

سال: 2013

ISSN: 0016-2736,1730-6329

DOI: 10.4064/fm220-3-1