On smooth locally o-minimal functions
From MaRDI portal
Publication:491440
zbMath1325.32007MaRDI QIDQ491440
Publication date: 25 August 2015
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.ijm/1436275484
Semialgebraic sets and related spaces (14P10) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Model theory of ordered structures; o-minimality (03C64)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(p\)-adic and real subanalytic sets
- On Efroymson's extenson theorem for Nash functions
- Semianalytic and subanalytic sets
- Classification of Nash manifolds
- The elementary theory of restricted analytic fields with exponentiation
- Analytic stratification in the Pfaffian closure of an \(o\)-minimal structure
- Approximation theorems in o-minimal structures
- Geometric categories and o-minimal structures
- A theorem of the complement and some new o-minimal structures
- An o-minimal structure which does not admit \(\mathcal C^{\infty}\) cellular decomposition
- Smooth functions in o-minimal structures
- Differentiable manifolds
- The Field of Reals with Multisummable Series and the Exponential Function
- Transition maps at non-resonant hyperbolic singularities are o-minimal
- Abstract Nash Manifolds
- Approximation Theorems for Nash Mappings and Nash Manifolds
- A generalization of the Tarski-Seidenberg theorem, and some nondefinability results
- The real field with convergent generalized power series
- The Pfaffian closure of an o-minimal structure
- On defining C∞
- Exponentiation is Hard to Avoid
- Quasianalytic Denjoy-Carleman classes and o-minimality
- Infinite Differentiability in Polynomially Bounded O-Minimal Structures
- Quasi-analytic solutions of analytic ordinary differential equations and o-minimal structures
- Model completeness results for expansions of the ordered field of real numbers by restricted Pfaffian functions and the exponential function
This page was built for publication: On smooth locally o-minimal functions
