Peano differentiable extensions in o-minimal structures

DOI10.1515/ADVGEOM.2009.026zbMath1205.03053MaRDI QIDQ3405589

Andreas Fischer

Publication date: 10 February 2010

Published in: advg (Search for Journal in Brave)

zbMATH Keywords

Fréchet differentiabilityo-minimal structurePeano differentiability

Mathematics Subject Classification ID

Continuity and differentiation questions (26B05) Derivatives of functions in infinite-dimensional spaces (46G05) Model theory of ordered structures; o-minimality (03C64)

Related Items (1)

Infinitely Peano differentiable functions in polynomially bounded o-minimal structures

Cites Work

• On the real exponential field with restricted analytic functions
• Expansions of the real field with power functions
• Intersection theory for o-minimal manifolds
• Geometric categories and o-minimal structures
• O-minimal \(\Lambda ^{m}\)-regular stratification
• The Field of Reals with Multisummable Series and the Exponential Function
• The real field with convergent generalized power series
• Quasianalytic Denjoy-Carleman classes and o-minimality
• Analytic Extensions of Differentiable Functions Defined in Closed Sets
• Extending n times differentiable functions of several variables
• Extending o-minimal Fréchet derivatives
• On extending Peano derivatives

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