Singularities of o-minimal Peano derivatives

DOI10.1002/mana.200710023zbMath1205.03054OpenAlexW1997547892MaRDI QIDQ3567443

Andreas Fischer

Publication date: 17 June 2010

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200710023

zbMATH Keywords

o-minimal structurecontinuously differentiablePeano differentiability

Mathematics Subject Classification ID

Continuity and differentiation questions (26B05) Derivatives of functions in infinite-dimensional spaces (46G05) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Model theory of ordered structures; o-minimality (03C64)

Related Items (2)

Infinitely Peano differentiable functions in polynomially bounded o-minimal structures ⋮ Subanalytic blow-$\mathcal {C}^m$ functions

Cites Work

• Expansions of the real field with power functions
• Intersection theory for o-minimal manifolds
• Geometric categories and o-minimal structures
• A theorem of the complement and some new o-minimal structures
• The Field of Reals with Multisummable Series and the Exponential Function
• Transition maps at non-resonant hyperbolic singularities are o-minimal
• Zero-set property of o-minimal indefinitely Peano differentiable functions
• The real field with convergent generalized power series
• Quasianalytic Denjoy-Carleman classes and o-minimality
• Differentiability of Peano derivatives
• Model completeness results for expansions of the ordered field of real numbers by restricted Pfaffian functions and the exponential function
• The Exact Peano Derivative

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