Rings of analytic functions definable in o-minimal structure

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

On gradients of functions definable in o-minimal structures

© Annales de l’institut Fourier, 1998, tous droits réservés. L’accès aux archives de la revue « Annales de l’institut Fourier » (http://annalif.ujf-grenoble.fr/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier...

متن کامل

Bifurcation Sets of Definable Functions in O-minimal Structures

In this work we answer a question stated by Loi and Zaharia concerning trivialization of definable functions off the bifurcation set: we prove that definable functions are trivial off the bifurcation set, and the trivialization can be chosen definable.

متن کامل

On Definable Skolem Functions in Weakly O-Minimal nonvaluational Structures

We prove that all known examples of weakly o-minimal non-valuational structures have no de nable Skolem functions. We show, however, that such structures eliminate imaginaries up to de nable families of cuts. Along the way we give some new examples of weakly ominimal non-valuational structures.

متن کامل

Definable functions continuous on curves in o-minimal structures

We give necessary and sufficient conditions on a non-oscillatory curve in an o-minimal structure such that, for any bounded definable function, there exists a definable closed set containing an initial segment of the curve on which the function is continuous. This question is translated into one on types: What are the conditions on an n-type such that, for any bounded definable function, there ...

متن کامل

Strongly minimal expansions of (C,+) definable in o-minimal fields

We characterize those functions f : C → C definable in o-minimal expansions of the reals for which the structure (C,+, f) is strongly minimal: such functions must be complex constructible, possibly after conjugating by a real matrix. In particular we prove a special case of the Zilber Dichotomy: an algebraically closed field is definable in certain strongly minimal structures which are definabl...

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: Journal of Pure and Applied Algebra

سال: 2003

ISSN: 0022-4049

DOI: 10.1016/s0022-4049(02)00313-4