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Peano differentiable extensions in o-minimal structures
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Andreas Fischer
Veröffentlicht/Copyright:
14. Juli 2009
Abstract
Peano differentiability generalizes ordinary differentiability to higher order. There are two ways to define Peano differentiability for functions defined on non-open sets. For both concepts, we investigate the question under which conditions a function defined on a closed set can be extended to a Peano differentiable function on the ambient space if the sets and functions are definable in an o-minimal structure expanding a real closed field.
Received: 2007-09-26
Published Online: 2009-07-14
Published in Print: 2010-January
© de Gruyter 2010
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Artikel in diesem Heft
- Secant dimensions of low-dimensional homogeneous varieties
- Peano differentiable extensions in o-minimal structures
- Global properties of codimension two spacelike submanifolds in Minkowski space
- Local recognition of the line graph of an anisotropic vector space
- Bicanonical map of surfaces with χ = 1 fibered by hyperelliptic curves of genus 3
- O(p + 1) × O(q + 1)-invariant (r – 1)-minimal hypersurfaces in Euclidean space
- Positivity in power series rings
- Scrolls over four dimensional varieties
- Nearly flag-transitive affine planes
Artikel in diesem Heft
- Secant dimensions of low-dimensional homogeneous varieties
- Peano differentiable extensions in o-minimal structures
- Global properties of codimension two spacelike submanifolds in Minkowski space
- Local recognition of the line graph of an anisotropic vector space
- Bicanonical map of surfaces with χ = 1 fibered by hyperelliptic curves of genus 3
- O(p + 1) × O(q + 1)-invariant (r – 1)-minimal hypersurfaces in Euclidean space
- Positivity in power series rings
- Scrolls over four dimensional varieties
- Nearly flag-transitive affine planes
