The Pfaffian closure of an o-minimal structure
نویسندگان
چکیده
منابع مشابه
Analytic Stratification in the Pfaffian Closure of an O-minimal Structure
Introduction. Let U ⊆ R be open and ω = a1dx1+·· ·+andxn a nonsingular, integrable 1-form on U of class C1, and let be the foliation on U associated to ω. A leaf L⊆ U of is a Rolle leaf if any C1 curve γ : [0,1] → U with γ (0),γ (1) ∈ L is tangent to at some point, that is, ω(γ (t))(γ ′(t)) = 0 for some t ∈ [0,1]. Note that while a leaf of is in general only an immersed manifold, any Rolle leaf...
متن کاملZero Sets of Smooth Functions in the Pfaffian Closure of an O-minimal Structure
I show that in an o-minimal structure on the real field, satisfying certain conditions, every closed definable set is the zero set of a smooth definable function. The conditions are shown to hold in the Pfaffian closure of a polynomially bounded o-minimal structure having smooth cell decomposition.
متن کاملGenerating the Pfaffian closure with total Pfaffian functions
Given an o-minimal expansion R of the real field, we show that the structure obtained from R by iterating the operation of adding all total Pfaffian functions over R defines the same sets as the Pfaffian closure of R . 2010 Mathematics Subject Classification 14P10,03C64 (primary); 58A17 (secondary)
متن کاملPfaffian Differential Equations over Exponential O-Minimal Structures
R l definable in R such that F (t) = G(t, F (t)) for all t ∈ (a, b) and each component function Gi : R 1+l → R is independent of the last l− i variables (i = 1, . . . , l). If R is o-minimal and F : (a, b) → R is R-Pfaffian, then (R, F ) is o-minimal (Proposition 7). We say that F : R → R is ultimately R-Pfaffian if there exists r ∈ R such that the restriction F ↾(r,∞) is R-Pfaffian. (In genera...
متن کاملthe underlying structure of language proficiency and the proficiency level
هدف از انجام این تخقیق بررسی رابطه احتمالی بین سطح مهارت زبان خارجی (foreign language proficiency) و ساختار مهارت زبان خارجی بود. تعداد 314 زبان آموز مونث و مذکر که عمدتا دانشجویان رشته های زبان انگلیسی در سطوح کارشناسی و کارشناسی ارشد بودند در این تحقیق شرکت کردند. از لحاظ سطح مهارت زبان خارجی شرکت کنندگان بسیار با هم متفاوت بودند، (75 نفر سطح پیشرفته، 113 نفر سطح متوسط، 126 سطح مقدماتی). کلا ...
15 صفحه اولذخیره 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 für die reine und angewandte Mathematik (Crelles Journal)
سال: 1999
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crll.1999.508.189