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Transition maps at non-resonant hyperbolic singularities are o-minimal
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T. Kaiser
Published/Copyright:
October 12, 2009
Abstract
We construct a model complete and o-minimal expansion 
of the field of real numbers such that, for any planar analytic vector field ξ and any isolated, non-resonant hyperbolic singularity p of ξ, a transition map for ξ at p is definable in . This expansion also defines all convergent generalized power series with natural support and is polynomially bounded.
Received: 2007-01-01
Revised: 2007-05-01
Published Online: 2009-10-12
Published in Print: 2009-November
© Walter de Gruyter Berlin · New York 2009
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- Transition maps at non-resonant hyperbolic singularities are o-minimal
- Amenable covers, volume and L2-Betti numbers of aspherical manifolds
- ℒ-optimal transportation for Ricci flow
- Deformation theory of representations of prop(erad)s II
- The Bass and topological stable ranks of and
- A derived approach to geometric McKay correspondence in dimension three
Articles in the same Issue
- Transition maps at non-resonant hyperbolic singularities are o-minimal
- Amenable covers, volume and L2-Betti numbers of aspherical manifolds
- ℒ-optimal transportation for Ricci flow
- Deformation theory of representations of prop(erad)s II
- The Bass and topological stable ranks of and
- A derived approach to geometric McKay correspondence in dimension three
